Mourinho: He came into my area . . . I didn't like that
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The Chelsea boss preferred to move on. Mourinho said: "Forget that (the push). A football pitch is a football pitch, so no problem.
"It becomes heated because this is a big game, big clubs, big rivals, (an) important match for both teams. These conditions make a game of emotions.
"There are two technical areas, one for me, one for him. He was coming to my technical area and he was not coming for the right reasons.
"He was not coming to give some tactical instructions or something.He was coming to press the referee to give a red card and I didn't like that."
Mourinho praised Jonathan Moss for his handling of the incident, which saw referee Martin Atkinson warn both managers after consulting the fourth official.
The Blues boss, who did not speak to Wenger afterwards, declined to criticise his opposite number's conduct.
"To be fair, I do so many wrong things in football," Mourinho added.
"Sometimes you lose emotion and I did so many wrong things, but not this time, because this time I was just in my technical area and it was not my problem. Game over. Story over."
Chelsea take a commanding advantage over second-placed Manchester City into the international break after dropping just two points in the opening seven games, in drawing 1-1 at the Etihad Stadium.
"The start of the season is good, but it's just seven matches and beginning of October," Mourinho said.
Wenger felt Fabregas handled a Jack Wilshere shot in the second half which should have been a penalty.
"It was a handball," Wenger said.
In a feisty encounter, Wenger also felt Cahill was fortunate not to be sent off for his challenge on Sanchez and bemoaned the persistent fouls he perceived were committed by Oscar and Branislav Ivanovic.
He also felt two instances of quality made the difference.
Wenger added: "It was a very even game today. It was down to very little. Hazard and Diego Costa made the difference. It was a very intense game. We couldn't score. They did."