The Manchester United manager has traded barbs with the Italian over recent weeks, with Conte claiming Mourinho was suffering from amnesia after the Portuguese branded some of his contemporaries - without naming any individuals - "clowns" for their antics on the touchline.
After another fantastic weekend of Premier League action, it's time to review five things we learned after game week 23 ...
Speaking post-match to Sky Sports, Conte said: "I saw many players were very exhausted and they didn't recover from the Arsenal game".
"In the first half Leicester ran more than us, they played better than us". If they start shouting it doesn't help us.
We are still in the Carabao Cup, FA Cup and Champions League.
"To face all competitions is not simple".
"Then he insulted me for a second time, but now I change, and now (there is) contempt and for me, contempt means end of the story".
Conte added: "I am fully committed to Chelsea, to work with my players to try to improve the club in the football aspect".
"Compared to last season we are conceding less, we are showing great solidity defensively".
Burnley's 1-0 defeat to Crystal Palace on Saturday meant it is now seven games without a win for Sean Dyche's side.
It was a torrid affair for the home side, with Eden Hazard being substituted for the fourth game in a row and Gary Cahill going off with a hamstring injury.
He said on the matter: "The problem is not only for Morata".
Meanwhile, Leicester manager Claude Puel remains confident Riyad Mahrez's fine display won't be one of his last in a Foxes shirt.