Christian Abbiati declared Sunday's opponents Napoli 'had more hunger' for the win on Sunday, but promised that Milan will bounce back from defeat.
Talking to Sky Sport Italia after the match, the goalkeeper reflected on the defending champions' first League defeat of the season, and a poor defensive record so far this season.
"Seven goals in three games is a lot, but there was some bad luck on both the first and third goals.
"It was a shame to see them equalise after only two minutes, that was our mistake. There was a rebounded header that fell to [Edinson] Cavani.
"The second was Cavani striking it very well though. I have seen it 15 times already, I seem to be well placed.
"Cavani kicked hard, but when you are beaten at your [near] goal-post, it is always the fault of the goalkeeper. With the second goal, they were able to score it before we could.
"They had more hunger than us. We were wrong because we allowed them to play on the counter-attack, and they like to play that way."
Abbiati was defiant in stating Milan will bounce back from the defeat though.
"It means that they have started strongly, but there are still 36 games to play, the road is long.
"There is a desire for redemption after suffering a defeat in the early days. We will do well and we start with our heads high, because we are the champions.
"The next game against Udinese will not be easy, but we play at our ground and we will not give up."