But Tevez, who is unhappy with his lack of playing time in recent weeks, is understood to believe his boss should not have spoken publicly on the matter with emotions running high and the facts behind the dispute unclear.
The Argentine angered Mancini by seemingly not wanting to come on during the second half.
"If I have my way he will be out. He's finished with me," the Italian said after the match.
"If we want to improve as a team, Carlos can't play with us. With me, he is finished."
Tevez subsequently apologised to the club's fans for the incident.
"I would like to apologise to all Manchester City fans, with whom I have always had a strong relationship, for any misunderstanding that occurred in Munich," he said.
"They understand that when I am on the pitch I have always given my best for the club. In Munich on Tuesday I had warmed up and was ready to play.
Roberto Mancini angry with 'unacceptable' Carlos Tevez
"This is not the right time to get into specific details as to why this did not happen. But I wish to state that I never refused to play.
"Going forward I am ready to play when required and to fulfil my obligations."
BBC sports editor David Bond says it is unlikely any showdown talks between Mancini and Tevez will take place on Wednesday as the players are not due in for training. City are next in action on Saturday when they play at Blackburn in the Premier League.
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