On a day of potential farewells for both clubs at St Mary's, the hosts dominated the first half against Manchester United before Ryan Giggs' side fought back after half-time to earn a 1-1 draw, with Juan Mata's free-kick cancelling out Rickie Lambert's opener.
Adam Lallana and Luke Shaw were both given standing ovations when they were substituted by Pochettino after impressive displays, with rumours rife of summer moves for both England hopefuls.
Boss Pochettino has been linked with the Tottenham job in recent weeks but again refused to be drawn on the speculation, revealing he intends sit-down talks with the club's owners on Monday.
"I want to say that I still have one more year on my contract," he said.
"It is only normal that these rumours will start cropping up. We know the rules with how these things happen in England.
"Tomorrow we will sit down and we will talk. This is the end of a five-year project, we have achieved what we wanted from this project and now a new project has to start.
"I have said that this club now deserves to be in a new project, the board has to decide how that happens, two years, three years or four years - I just want to sit down and talk and we will see what happens."