Conte also took aim at Wenger, who has been particularly vocal about the standard of refereeing in the Premier League in the last week.
"What never happened to me - and will never happen - is to be suspended for match fixing".
When asked about Mourinho's comments Conte used the phrase "demenza senile" in relation to the United manager, which translates as senile dementia, although a Chelsea's spokesperson was quick to stress that the Italian had meant to say amnesia.
Mourinho responded: "I don't blame him".
"I think he has to see himself in the past - maybe he was speaking about himself in the past".
MEDIA MELTDOWN: Joy Behar Says Trump 'GOING TO KILL' All of Us
In the latest jibe against the North Korean leader, Mr Trump denigrated the potency of the North Korean nuclear arsenal. A Twitter spokeswoman said the company would have no comment on the calls for Dorsey's resignation.
First blue supermoon lunar eclipse in 150 years coming in January 31
That doesn't actually mean it will look any different - but rather that it's the second time there's been a full moon in a month. The eclipse will take place during the middle of the night, and the Pacific Ocean will be turned toward the moon at the time.
2 suspects arrested in quadruple homicide in Troy, New York
Police announced two persons were being questioned late Friday and just after 2:00 a.m. Tedesco thanked fellow cops and the public for giving them tips.
"But I don't blame him at all, I was asked about my passion and you know because most of you were in my press conference and I was speaking about myself and then the question to the Chelsea manager was like I told that he behaves like a clown, probably the journalist wants to say that but didn't have the courage to say that".
"Everybody knows, I don't need the Chelsea manager to say, that I made mistakes in the past and I will make in the future, hopefully".
There is no love lost between the pair and the Chelsea manager felt his patience snap after hearing comments from Mourinho on Thursday. Question completely wrong and because of that, an out of control reaction.
But when mention was made of the accusations against Conte, Mourinho said: "Did he?" I think Mourinho might be suffering from dementia. I think that is a form of respect you must have and, I repeat, sometimes, for example, Wenger forgets that in our last few games [against Arsenal], we finish the game with 10 men.
Nonetheless, the United boss appears unshakeable, as he hauled up the ban handed to the Italian gaffer for not reporting match-rigging allegations whilst he was reigning Siena in 2011.
One huge boost for Chelsea, and something that will keep Conte happy is the fact the club have landed Ross Barkley, who they of course tried to land in the summer and failed on deadline day, with conflicting reports over what had happened there.