Gianluigi Buffon said Juventus deserved to lose against Milan on Sunday, but Milan coach Massimiliano Allegri admitted that the penalty that earned his side a 1-0 win should not have been given.
Juventus suffered their second defeat of the season - their first away from home since May 2011 - and Buffon, who got a hand to Robinho's penalty, said he and his team-mates had failed to perform.
He told Sky Italia: "In my view it wasn't a penalty, but incidents like that can happen.
"The fact remains that we had time to get the game back on track and didn't do it. We had an hour to muster some kind of response.
"The truth is that we deserved to lose this time. Being self-critical is the best way to educate people. You can never know what the real reasons are behind a defeat, but something was missing tonight in many aspects, and it was visible."
Milan coach Allegri, who saw his side finally move into the top half of the table, told the same channel: "From the touchline it really did seem like a spot-kick, but watching the replays it should not have been given.
"This game was a real battle by the players. We only allowed Juventus one shot on target, while there were four or five great scoring opportunities for us."
He praised his team for doing "their absolute best against a Juve side that is doing great things".
"It's wonderful that we managed to avoid basically giving Juventus any chances at all," he added. "We defended in a very organised manner, and the lads deserve so much credit for this. We worked well as a unit, which is a positive sign."
The 45-year-old was asked about Milan owner Silvio Berlusconi's revelation he had spoken to Allegri about the possibility of sacking him and installing Pep Guardiola.
He responded: "I feel flattered that the club is looking for Guardiola as my replacement, seeing as he is one of the best coaches in the world."