The Baggies battled despite defeat to last season’s Premier League champions, twice threatening comebacks against Jose Mourinho’s side.
Pedro handed the visitors the lead before assisting Diego Costa’s strike, before James Morrison pulled one back for the hosts.
A red card awarded to John Terry early in the second half gave ignited further hopes of a comeback for Pulis’ men, but Cesar Azpilicueta’s debut Premier League goal cancelled out Morrison’s second as Chelsea held on for the victory.
Conspicuous by his absence was Tottenham target Saido Berahino, who was not included in West Brom’s matchday squad at all for the clash, with Pulis ruing the transfer market for having to leave out his young striker.
“I had a chat with him yesterday and it’s very unsettling,” Pulis told BBC Sport. “He’s a great lad but he is a young lad. I just cannot believe we are talking about something that is not even going to happen today affecting the kid.
“We should all be talking about the football. The transfer window should close and the season should start and everybody should be talking about football and not other things.
“We have been working hard to try and bring players in but this all could have finished three weeks ago.”
Berahino was replaced in the starting line-up by record summer signing Salomon Rondon, who made his full debut in front of a raucous home crowd.
“He’s a good player,” Pulis said of his £12million signing. “We spent a lot of time watching him and I couldn’t believe that he was available. We’re hoping he plays his part in the coming weeks and the coming months.”
On the defeat, Pulis added: “We’re trying hard to get players in just to make us more resolute. The goals were disappointing goals, but the lads kept going and kept working.
“We created the opportunities and chances, but it’s getting the balance.”
The Baggies were handed the opportunity to open the scoring after a quarter of an hour, after Nemanja Matic felled the bright Calum McManaman in the area. Morrison opted to take the penalty in the absence of regular taker Berahino, despite the protests of Chris Brunt.
On the situation, Pulis said: “Whoever feels comfortable for me should take it, and Morrison sprinted over and got the ball first. I was expecting him to score.”