The Serie A-new Boys were a good prize for the three points, with Allegri then asked if his team had too little quality and depth.
He started: “We had to expect this game: Cremonese, a tough team that you don't let play, was our first game of the season. We just had to increase our threats perception tonight, as we will in the next 37 games.
“Otherwise we are a team that can lose to anyone. We must increase our level of aggression, both attacking and defensive, and be aware of the danger. We knew that Cremonese was strong on crossing, and giving two goals such as this is just a matter of threats.”
Asked if the team is good enough, Allegri continued: “I only know one thing: this team has excellent players. We did not lose tonight because (Rafael) Leao or someone else missed … We have lost because you have to be aware of the danger: if you don't have the ball and you don't feel the danger, you can't give the danger, you can admit at any time.
“You have to increase your focus and your perception. We have created opportunities, but then you have admitted with the first cross, and that is not good. It does not exist. The Italian competition is difficult, you even have to win the dirty games, especially those at the start of the season, and you were sure. Losing it.”
In the last week of the market, he added: “The club evaluates the situation and has done a good job this summer. At the moment we have to increase our focus considerably, even if that means it plays a game less in attack.