Substitute Olivier Giroud scored twice, his first league goals for Chelsea, either side of an Eden Hazard strike. I didn't say we're going to score, but I believe the first goal we scored put them in a bad position.
"I saw the right will to comeback and find a hard result because when you are 2-0 down it is not simple".
Chelsea's lightning turnaround secured just their fourth league win of 2018, boosted their slim hopes of a top-four finish, and denied a stunned Southampton the chance to move out of the relegation zone.
Conte said: "I was a player, and the players must play every game, and not for me, but for the club, and for the fans". "When the momentum shifts against us we can't get a platform and wait until the momentum swings our way again".
Mark Hughes' men fully capitalised on Chelsea's shattered confidence to take a deserved lead through Dusan Tadic, who stroked home a Ryan Bertrand cutback.
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Given the earlier scoreline, it really should have been game over, given that the Blues hadn't come back to win from 2-0 down in a Premier League game in 16 years.
Next up is a trip to Burnley on Thursday before a return date with Southampton, at Wembley on Sunday in the Fa Cup semi-final. "In the second half, we showed great character, great determination and desire to win the game".
It was Conte's changes that turned the game in Chelsea's favour, with Giroud grabbing his first and second for the club, but the manager was more concerned with the difference in his team as a whole for Chelsea's first league comeback from two goals down since 2002.
Chelsea full-back Marcos Alonso was fortunate to remain on the field when his studs came down on the back of Shane Long's ankle, but referee Mike Dean took no action despite being close to the incident.
Bednarek marked his Premier League debut in style when he half-volleyed expertly across the goal and into the far corner from Ward-Prowse's free-kick on the hour mark. Southampton are in 18th, still three points from safety.
Conte responded by introducing Giroud for Morata and the Frenchman quickly had an impact, heading Alonso's cross in from just inside the area.