Juve seemed to be headed for a comfortable win - their first in three games - when Marco Motta was sent off for a second yellow card.
The visitors then couldn't cope with their numerical inferiority and shipped two goals to leave with one point instead of three.
In comments quoted by Juventus' official website after the game, Aquilani said: "The sending off took the wind out of our sails.
"At 2-0 we should have closed the match better. Going down to 10 men punished us, but we should have been more alert. We played a good game, but in this particular moment it's not enough."
Coach Luigi del Neri was happy with the side's performance but yet more dropped points have increased the pressure on him.
"We played a good game. We spent a half with a numerical disadvantage, but we were smart on a difficult pitch.
"Motta's sending off was a pity. The second booking was right, however the first...", he trailed off.
Alessandro Matri, who saw his side draw despite grabbing a brace was downcast as well.
"The results of the team matter more to me", he said.
"The personal satisfaction is important, but I'm more interested in Juventus' results. Now there are nine games left, and we'll try to address them with the most aggression possible, taking it game by game."
Juventus now play Brescia in a bid to revive their flagging season.