Tevez hit a screamer to settle the game.
Conte said: "In the first half the defence wasn't working very well, as we were spread too wide and Milan kept finding Pazzini behind Pirlo. My objective was to at least hold on to the 0-0 at half-time before making tactical adjustments in the locker room.
"Carlos Tevez is the kind of player who gets more fired up the more passionate the game is. He's a fiery person and brings the best out of himself in difficult situations.
"Fernando Llorente was also extraordinary tonight, as he caused the Milan defence a lot of problems. I am very happy, as in seven days the different strike pairings all did well. I need the whole squad for this season and am getting comforting responses from everyone."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball