Conte branded Neville's comments about his tactics for defeat at Manchester City on Sunday as "stupid".
“I don't use the words 'embarrassing' or 'unacceptable' lightly. I've had to use it in the last week twice on co-commentary," said Neville.
“I went quiet on co-commentary for two or three minutes (in the Man City v Chelsea game). Martin Tyler will tell you I don't do that often, but I had to go quiet as I had to reflect on what I was seeing. To be honest with you, it disgusts me.
“The first bit is a bit tactical for a bit of belief. I agree about not taking the ball, not getting on the half-turn as Man City are a great pressing side, but I can't relate to it, in any way shape or form for the best players and teams in the world.
“City are the best team in the Premier League by a mile. When they give the ball away, they react. When they win the ball back, everything is quick and at top-speed. They won a cup final last Sunday and they came out on Thursday and they are at it again. There's no rest. These Chelsea players took a day off. They took a rest."