Arsene Wenger's young Gunners were on the receiving end of a 5-1 drubbing at the hands of their arch-rivals, which saw an angry confrontation between the two Arsenal strikers towards the end of the match.
The incident is now being investigated by the Football Association, who have requested relevant television footage after referee Howard Webb confirmed he did not witness the whole event.
Bendtner - who had earlier scored an own goal - became involved in a heated altercation with his team-mate, and appeared to complain of being headbutted by the Togo international.
Arsenal captain William Gallas stepped in to try to calm matters down, before then himself being confronted by the angry young Danish striker. Eventually, referee Webb had to intervene to restore order.
Adebayor accepts tempers were allowed to boil over in the heated atmosphere, and offered an unreserved apology for his actions.
"I think that we should have been more calm during the game and although I was pleased to get a goal back for the team when I came on, I am sorry for the disagreement with my team-mate Nicklas," Adebayor said on the club's official website.
"We are both passionate about this club and sometimes that can be projected in the wrong way.
"It was a mistake. We want to focus on the games ahead and rely on our squad's great togetherness to achieve a fantastic season."