A point apiece then, which is a better result for West Ham than it is for Southampton, who were the better team. Full report and reaction to follow on www.skysports.com. Thanks for sticking with us this afternoon.
Full-time: Southampton 1-1 West Ham
Fantastic chance for Southampton as Rodriguez storms forward and lets a 25-yard right-foot shot fly. Jaaskelainen parried it straight into the path of Puncheon, but Collins got a vital foot in. The substitute was offside anyway.
...but the corner was poor and easily cleared. West Ham retained possession and pumped the ball back into the box, but Nolan was offside.
West Ham finishing strongly and win a corner after a Collison crosses was deflected wide...
We're into the first of four minutes of stoppage time.
Davis lays off to Puncheon on the edge of the box but his left-foot shot is quickly blocked and the danger is averted.
West Ham are on the ball now and appear in now rush to give it away. Plenty of short passes and not really going anywhere.
Puncheon is floating all over the field for Southampton and is their chief creator now. But West Ham have closed ranks now and gaps just aren't appearing.
Southampton are controlling possession but can't seem to create chances. James Collins has been excellent for West Ham.
Matt Taylor replaces Vaz Te and receives boos from the home fans for his Portsmouth past.
Lambert tries to curl the free-kick into the top corner but it hits the walls and the danger is cleared.
Vaz Te booked for the challenge on Fox.
Great opportunity now as Vaz Te wipes out Fox on the edge of the box, handing Southampton a dangerous free-kick...
Much better-tempered second half so far after a niggly opening period. Meanwhile, Southampton are now probing for opening on the edge of the West Ham box.
West Ham ease the pressure by pushing up field and winning a corner, but they can't do anything with it and Southampton head straight back on to the front foot.
Ramirez is replaced by Jason Puncheon.
Another free-kick in a decent position on the right wing for Ramirez, and another complete waste from the Uruguayan, who is now coming off.
West Ham pump the ball forward and Hooiveld slips while trying to clear, freeing Carroll to collect the ball and release a left-foot shot that Boruc gets down well to save.
Great run by Rodriguez down the right - flying effortlessly past O'Brien - but his cross was cut out at the front post.
Rodriguez scuffs a shot from 25 yards out lamely wide after a one-two with Lambert. He's clearly high on confidence but was a touch hasty there.
Southampton are back into their rhythm of playing the ball around, but their earlier patience has been replaced with a greater urgency now.
Ramirez goes for goal from the resulting free-kick, but it was over 35 yards and was never going to threaten Jaaskelainen. Mauricio Pochettino did not look happy.
Pogatetz booked for slicing down Rodriguez, who had collected the ball in midfield and was flying forward at pace.
Adam Lallana is replaced by Jay Rodriguez for Southampton.
It has to be said that West Ham were looking really dangerous from crosses just before the equaliser and have continued to do so afterwards. Southampton have been desperate with their clearances.
Carroll and Schneiderlin both pick up head knocks after an aerial collision also involving Diame. They're both OK to continue, though.
West Ham now have their tails up and Collison fires over from 12 yards after Hooiveld had only half-cleared a cross from the left. He was offside, though, so it wouldn't have counted.
Both goals came with an element of luck - a fortunate rebound for Ramirez and a big deflection for Carroll - so we're now back to square one. Southampton have been the better team and will be devastated.
Carroll equalises from the free-kick, but it needed wicked deflections off both Lallana and Steven Davis to beat the wrong-footed Boruc low to his left.
Goal! Southampton 1-1 West Ham (Andy Carroll)
Diame is a driving force for West Ham and has just won a free-kick on the edge of the box after being felled by Hooiveld. Decent chance for West Ham here...
James Tomkins has picked up a knock and is replaced by Emanuel Pogatetz.
More pressure from Southampton, who are trying desperately to get a second goal and put this to bed. Plenty of crosses from wide but all so far have been cleared.
Great chance for West Ham to hit straight back but Vaz Te's flick to Nolan at the back post was magnificently cleared by Cork. Great defending.
Fortunately created but brilliantly executed. James Tomkins cleared a long ball straight to Ramirez, whose first shot he then blocked. However, the ball fell straight back to Ramirez, who was now clear on goal, and the Uruguayan expertly sidefooted the ball past the onrushing Jaaskelainen.
Goal! Southampton 1-0 West Ham (Gaston Ramirez)
Jack Collison replaces Matt Jarvis for West Ham.
The game is starting to open up now. There are more gaps in the midfield and spaces for players to run into.
Much better again from West Ham as Diame plays a one-two with Nolan and goes charging into the box, only for Fox to cover across for Southampton and take the ball off his foot.
Fantastic chance for Andy Carroll as Maya Yoshida completely mistimes his jump to clear a deflected, looping ball into the box and allows the ball to drop to the West Ham striker, who hooks a shot narrowly wide of the post. Huge let-off for Southampton.
Better pressure from Southampton as Clyne hits the right byline and pulls a cross back to Ramirez, who sees a right-footed shot blocked. Better from the hosts.
Really tepid start to the second half from West Ham, who are yet to string three passes together.
The rain is still pouring down and the wind is still up. It's behind Southampton in the second half, although it's unlikely they will capitalise because the majority of their play is on the ground.
Southampton have spent the first five minutes of the second half patiently passing it around midfield, probing for opportunities. Nothing opening up as yet, though.
Half-time came at a good term in terms of the frostiness of the game. Everyone seems a bit calmer now and the challenges much cleaner.
West Ham get on the ball and try to move themselves off the pitch but they quickly see their attempts snuffed out and Southampton are back on the ball.
Southampton fall straight back into the passing rhythm at the start of the second half. West Ham already doing a lot of chasing.
Saints fan Jenny e-mails to say: "Saints keep the pressure up we will win this game more quality on ball, but always gotta watch out for the famous Alladyce long ball on counter attacks."
And we're back under way at St Mary's.
The teams are back out, so we'll be back under way with the second half imminently.
Simon Bavin from Romford e-mails to say: "I reckon Big Sam should replace Vaz Te with Paulista, that'll wake up the Saints defence."
West Ham fan Reece Brooks e-mails to say: "I think we should be trying to feed the ball through to Jarvis rather than hoofing it up to Carroll all the time. We need his pace to get down the wings and put in a cross that will result in a Carroll header! Prediction: Southampton 0-1 West Ham. COYI."
Mike from Telford e-mails to say: "Hope West Ham bring on Wellington Paulista, he's been doing great for the development squad. Pacy Brazilian who knows how to score, kind of the opposite of Carlton Cole. (only joking Carlton)."
West Ham fan Liam e-mails to say: "Happy with 0-0 score line at half time but we need to do more attacking."
Half-time: Southampton 0-0 West Ham
Great chance for Lambert as he sails a header just wide of the post from 15 yards after a cross from the right from Cork. Really close call.
Southampton trying to finish strongly but Lallana's cross from the right after a decent passage of passing play was cleared.
Sam Allardyce will be delighted if he can get his side in at half-time 0-0. One minute added time to be played.
West Ham seem to have ridden the Southampton storm now, helped by the series of fouls and niggly arguments that marred the game over the last few minutes.
Andy Carroll booked for back-chatting to referee Mike Dean. The game has turned really sour in the last five minutes or so.
Another Ramirez free-kick from the right is swung towards the back post but this time Lambert was just a yard behind the play and couldn't connect.
Lallana and Nolan go head to head after a late challenge from Nolan. There's been a real needle in this game so far and Nolan has been at the centre of most of it.
West Ham pump the ball up towards Carroll, but the on-loan striker is penalised for a needless pull on Maya Yoshida's shirt.
Great spell for Southampton, who are flying right now. However, Schneiderlin has just felled Diame with a challenge that would have warranted yellow had he not already been booked.
Fantastic chance for Southampton as Ramirez whips in a free-kick to the back post to Lambert, who stretches and stabs the ball towards the bottom corner, but Jussi Jaaskelainen got down brilliantly to claw it away. Southampton claimed it crossed the line but not from my perspective.
West Ham are being overrun a little bit here and challenges are subsequently flying in, more often than not late.
Good spell of pressure from Southampton again as Ramirez lets fly from 25 yards and wins a corner. Nothing came of it, but West Ham are pinned in right now and Southampton tails are up.
Great chance for Lallana as Lambert squares it to him on the penalty spot. Lallana could have left it for the over-lapping Schneiderlin, but he opted to spin and shoot and the effort was blocked.
Good interchanging of positions from Lambert, Lallana, Ramirez and Steven Davis for Southampton. Lots of angled runs that West Ham's defenders are finding hard to track.
Fairly even game again now after West Ham forced their way back into it. Southampton look the more likely to break the deadlock, though.
Great chance for West Ham as Vaz Te skins Fox on the right win and cuts back to Nolan 15 yards out, but Jos Hooiveld got out quickly to block the shot.
Southampton are counter-attacking at pace and in numbers from midfield. Ramirez has just darted forward from deep in midfield with several options, but his attempted through-ball to Lambert was cut out.
Better now from West Ham as they start retaining possession much better and make progress upfield with the ball. However, they have still been unable to create any chances.
Ironic cheers as Southampton win a free-kick 35 yards out. Lambert strikes for goal, but his effort is deflected wide for a corner that comes to nothing.
Opening for Andy Carroll as a deep free-kick is pumped into the box and falls to the striker's feet and allows him to shoot. However, he was flagged for offside, so it wouldn't have counted anyway.
Danny Fox cautioned for a late challenge on Guy Demel.
Once again, Lambert is a little too isolated for Southampton as a ball is played forward for him to nod down, only for there to be no one there to collect the ball.
West Ham are just trying to take the sting out of Southampton by passing the ball around defence and midfield, but the hosts are pressing high and aggressively, so it's not easy for the visitors.
If there's one complaint about Southampton, it is that they don't have players in numbers in forward positions. More often that not, the midfielders are making late runs to join the action.
West Ham finally push out of their own half and sustain possession in Southampton territory, but they're unable to do anything with it and momentum is quickly lost.
West Ham just can't get hold of the ball at the moment and are sitting really deep, which is beckoning Southampton on to them. Andy Carroll has hardly touched the ball.
Great opportunity for Southampton as Lallana is fed in behind the West Ham defence in the right channel and squares the ball across goal. Cork was running on but was just a yard or so short of making contact. Fine play.
Southampton are starting to find their flow now and pass it purposefully though midfield and up towards Lambert. Really high pace to their game.
Now Diame is robbed in midfield, by Jack Cork. Southampton playing with a greater urgency and hunger to have the ball. West Ham need to go up a gear.
Another fine piece of play by Clyne sees him breeze past O'Brien at left-back for West Ham and cut back from the byline, but there was no one on hand to convert the opportunity. Southampton on top now.
Nolan is pick-pocketed in midfield by Steven Davis, which sets up a Southampton attack down the right. Nathaniel Clyne played a nice one-two with Lambert but his cross was cut out.
West Ham's strong spell has petered out now and Southampton are pushing their way back up the pitch. Neither side look to have full settled yet.
Niggly start from both teams, exemplified just now by Gaston Ramirez kicking out at Joey O'Brien after the West Ham man went to ground.
West Ham still on top and Ricardo Vaz Te has just whistled a right-foot shot from 25 yards out in the left channel narrowly over. Decent effort.
Better spell of pressure from West Ham now as they pin Southampton in and win a corner. The set piece was poor, though, and the hosts clear.
The ball was bouncing around after the free-kick hit the wall and Nolan seized on it, letting fly a snapshot that Artur Boruc had to get down smartly to save.
Free-kick given to West Ham 25 yards out in contentious circumstances but James Collins cannons his strike straight at the Saints wall.
Morgan Schneiderlin picks up a caution for diving under a challenge from Nolan, who didn't look impressed.
Looks like both teams are playing 4-2-3-1 formations, each with big men up front in the form of Rickie Lambert (Southampton) and Andy Carroll (West Ham).
Good pressure from Southampton and Lallana just had another sighter at goal, although this time he kicked fresh air on the edge of the box and West Ham were able to clear.
Early chance for Southampton as Steven Davis plays Lallana through on goal, but James Tomkins tracked the run well and blocked Lallana's left-foot shot.
Lots of wind swirling around St Mary's so concentration on crosses and long balls forward is going to be paramount today. West Ham have already played it long on several occasions.
No minute's silence incidentally, for either Baroness Thatcher or the upcoming 24th anniversary of the Hillsborough disaster.
And we're under way, with Southampton in all red and West Ham in their changed strip of light blue.
Adam Lallana and Kevin Nolan are the two captains today. Lallana is celebrating signing a new contract with the club.
Here come the two teams, led out by referee Mike Dean.
Just five minutes left until kick-off at St Mary's now, so this is your last chance to get the brews in. Chilly conditions out there on the south coast for the players and fans, and there's a splattering of fine rain in the air, too. Looks like there will be a full house at St Mary's, though.
Martin Batten e-mails to say: "Looks like a good game ahead with fine British weather. The slick pitch will play into the Saints style of football. 3-1 to Saints - Lambert, Lallana and Yoshida to get his first goal."
Twenty minutes until kick-off at St Mary's. No place in the starting line-up for Jay Rodriguez today, despite having scored in his last three Premier League games and being touted a potential England player by his manager.
Liam e-mails to say: "I'm a West Ham fan and my prediction is 2-0 to West Ham with Nolan and Carroll scoring."
Sam Naylor tweets: "Hopefully West Ham will bag 3 points. I'm thinking a 3-1 win to the Hammers."
Grant Oddy e-mails to say: "My prediction is Southampton 1 West Ham 2 with Lambert getting the Saints goal and Carroll getting both for the Hammers."
As well as looking to take a vital step towards safety today, Southampton will also have revenge on their mind after West Ham thrashed them 4-1 in the reverse fixture back in October. All five goals came in the second half, with Mark Noble grabbing a brace.
Chris Green, of Huddersfield, e-mails to say: "Prediction: Southampton 1-2 West Ham." Do you agree? Get in touch and have your say.
Jay Rodriguez is the 4/1 favourite to open the scoring as he looks to net in a fourth consecutive game, while the Saints' leading scorer, Rickie Lambert (9/2 first scorer), has netted two in three. Andy Carroll (13/2) is considered the visitors' main threat, having bagged a brace before being ineligible for last weekend's goalless draw with Liverpool. Mauricio Pochettino's men have been convincing in their recent victories, winning by two clear goals in three of their last four, a 4/1 shot with Sky Bet this time around.
W Ham team
Jaaskelainen, Demel, Collins, Tomkins, O'Brien, O'Neil, Diame, Nolan, Jarvis, Vaz Te, Carroll. Subs: Henderson, Potts, Pogatetz, Taylor, Collison, C.Cole, Paulista.
Boruc, Clyne, Yoshida, Hooiveld, Fox, Lallana, Cork, Schneiderlin, S Davis, Ramirez, Lambert. Subs: K Davis, Fonte, Rodriguez, Ward-Prowse, Guly, Puncheon, Mayuka.
Welcome along to our live coverage of Southampton v West Ham at St Mary's. Both teams can more or less guarantee their Premier League survival today, so there is plenty at stake. I'm Matt Westby and I'll be taking you through all the build-up and then then game itself. If you want to have your say, tweet me @MattSkyCycling or e-mail firstname.lastname@example.org and I'll be happy to publish your thoughts. Enjoy the game.
Live updates will appear here from 1500 BST...