The Red Devils came from 1-0 down to secure a 2-1 win over Juventus after Juan Mata's free-kick and Alex Sandro's own goal to cancel out Cristiano Ronaldo's opener.
The United manager said City were "untouchable" in reference to their organisational capabilities and expertise in the transfer market, but would not be drawn on whether he thought they had fiddled the books.
Instead they must now wait for the remaining games against Valencia and Young Boys to seal their passage to the next round.
"We are a team that always finds a way to fight back".
Allegri added: "It leaves a bitter taste in the mouth, but we can't win all the time". "That Cristiano Ronaldo goal was attractive and the player [Leonardo Bonucci] that made that attractive pass, is a central defender!"
"The Champions League is a special competition, where you could be winning, but you can't relax, as anything can happen", continued Ronaldo, who has won the competition four times Real Madrid and once with United.
"And even if the good results were not in our pockets the performances were there, the positive attitude was there so we are going to try but Manchester City are a very powerful team".
"I was happy with the goal, but I'm a little bit disappointed because we should win the game with three or four goals".
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He recused himself the next day, saying it would be inappropriate to oversee an investigation into a campaign he was part of. The president also warned the Democrats against investigating him, after taking over the House in the midterm elections .
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