The French worldwide striker has largely struggled to make an impact since his deadline day move from Arsenal in January, putting his place at the World Cup at risk.
"For sure in every moment of the game you must think positive and that you can come back despite the score being 2-0 down", Conte was quoted as saying by his club's official website.
But Saints have struggled to hold on to leads this season and collapsed halfway through the second period, conceding three goals for the fourth successive league game.
The victory keeps Chelsea's slim hopes of salvaging a top-four finish alive, while Southampton remain in the relegation zone. "We have never commented about the negative refereeing decisions, especially after the game".
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Swansea drop to 17th despite taking a point from Everton, with Jordan Ayew's second-half goal enough to earn the Swans a deserved share of the spoils after Kyle Naughton's unfortunate own goal had seen them fall behind. That's a killer instinct we'd like to see more of, please.
But up swept the Saints and Ryan Bertrand showed a clean pair of to Cesar Azpilicueta. he raced onto the byline and cut the ball back to in-running Dusan Tadic, who cooly slotted home, from six-yards, ahead of a late challenge from Gary Cahill to put the home side ahead on 21 minutes. "In the second half, we showed great character, great determination and desire to win the game". If you don't have something in your heart, it's very hard to come back and win.
While Jose Mourinho's United came from behind to secure a thrilling 3-2 win, the Red Devils need to avoid defeat against lowly West Brom at Old Trafford or the title will head to the Etihad Stadium. Ward-Prowse whipped in a typically inviting delivery from the right flank on the hour mark and Bednarek, making his first league start for the Saints, arrived unmarked at the far post to coolly guide it low past Courtois.
The two sides will meet again in the FA Cup semi-finals next weekend, and Southampton will do well to raise themselves for Cup glory, with their place in the league next season looking ever more shaky.
Five minutes later Hazard levelled by smashing home Willian's cross from close range. Southampton are in 18th, still three points from safety.