The 3-2 result included the Frenchman's first ever goal at St Mary's.
"It's my first Premier League goal and my first one at St Mary's as well so that's good but I'm gutted that we lost the game and that's the only thing in my mind right now," a despondent Schneiderlin told Saints Player.
"We gave everything for 87 minutes, and in five minutes we lost the game. That's what we need to learn now to win games because that's the second time we've been 2-1 up now and finished 3-2 so all the effort we have put in has been for nothing.
"We've learned a lot from this match though and we're going to try to work hard on the training ground on the bad things that happened because that is important."