The 45-year-old coach admitted that his team are still making far too many mistakes, but was pleased with how his side reacted.
"We ran a few too many risks on some occasions, but we also created a lot of chances towards the end," Football Italia quotes Allegri as saying. "With Mbaye Niang and Antonio Nocerino being a little sharper, we could even have won it.
"We have to grow up, as we still make far too many mistakes on an individual level. This is a team that must mature and learn from the errors as well as its position in the table.
"The point is deserved considering the way we played and the intensity on the field."
The Rossoneri lie 10th in Serie A.