The Rossoneri coach felt that his side gave as good as it got in Turin but it ultimately paid the price for gifting the hosts too many chances
AC Milan boss Massimiliano Allegri was left lamenting his side's sloppiness after Sunday's 3-2 defeat at Juventus.
Sulley Muntari put the Rossoneri ahead inside the opening 20 seconds, but the hosts leveled through Andrea Pirlo before surging clear in the second half with goals from Sebastian Giovinco and Giorgio Chiellini either side of a Philippe Mexes red card.
Despite its numerical advantage, Milan kept battling right until the end and pulled a goal back through Muntari, but it was unable to salvage a point, with Allegri arguing that it had ultimately paid the price for an error-strewn display.
"It was a good performance, though we made a few mistakes and allowed Juventus too many chances," the Rossoneri boss told Sky Italia.
"Both sides did well, but we made more errors than they did. On the first goal, we lost the ball in our own half and sparked a counter (and were) forced to give the free-kick. It's normal between two quality sides that a mistake will be paid for.
"I'd say overall in terms of performance that the team allowed little to Juventus, although we should have closed down their long-range shooters earlier.
"It's a long season, there is time to recover and we will do everything possible to achieve that. We'll see before the Christmas break where we are."
Milan's defeat - its third of the season - leaves it 12th in Serie A, 13 points behind leader Roma.