Despite Fiorentina having Nenad Tomovic red-carded, two late penalties rescued a point for La Viola.
The Milan coach bemoaned the missed chance to finish off Fiorentina in the Serie A Champions League race but was quick to argue it was just a part of the development of his young side.
“The second half was not positive, as we were caught napping. It’s a shame, as this could’ve been a very important victory to cut Fiorentina out of the race for third,” he told reporters.
“We need to stay calm now, as we do some great things and the mistakes are part of the maturing process of this side.”
Allegri also admitted his frustration that his team did not step up a gear when their opponents were reduced to 10 men.
“Paradoxically, Milan played better against 11 men than 10,” he continued.
“We let ourselves go in terms of intensity and were half-asleep. We need to improve in terms of determination and effort.”
Milan remain in third place in Serie A, one behind Napoli and six ahead of Fiorentina.