Police have been investigating a brawl outside Hampden Park in Glasgow on the morning of 26 February, about six hours before Celtic beat Rangers 2-1.
Eight men, aged between 17 and 25, were arrested and released on an undertaking.
Two other men, aged 43 and 21, appeared at Glasgow Sheriff Court on Thursday, while inquiries are continuing.
Police Scotland said a report would be submitted to the procurator fiscal.
The force said the arrests showed that “such violence and disorder has no place in football”.
Inquiries will continue to try to identify those responsible for the disorder inside and outside of Hampden at the fixture, it said.
“We are committed to working with our partners to maximise the safety of all persons attending football fixtures,” the force added.
A spokesperson for the Scottish Professional Football League said the governing body had been working closely with Police Scotland and the Scottish Football Association to “investigate and address the unacceptable behaviour of a small minority of supporters” at the final.
“We are encouraged by the progress which has already been made and look forward to more of the individuals involved being identified in the near future,” the spokesperson added.
Meanwhile, Rangers coach Craig McPherson has apologised and said he will “accept in full” any punishment handed out to him following his headbutt on Fran Alonso after the women’s Old Firm game at Broadwood on Monday.
The coach confronted the Celtic manager after the game in which the Hoops scored a last minute equaliser to grab a point and stay a point ahead of their city rivals.
In a statement released on social media on Saturday McPherson said he “severely let myself down” and offered an apology to Alonso.
It said: “I would like to offer a full and unreserved apology for my actions at end of Monday’s Old Firm match at Broadwood.
“I know I have severely let myself, our team and the club down. I hold myself to the highest of standards and have never done anything like this before in a long coaching career, and I know I fell way short of that with my actions.
“This club is also built on incredibly high standards, and I have already apologised to the board, the football staff, and our fantastic group of players who I care about dearly. I would also like to apologise to the Rangers fans as I am aware of what a privilege it is to represent this club in any capacity, and I am sorry that on this occasion I did not uphold the standards this club demands.
“I also understand how exciting a time it is for the women’s game in Scotland, which I have come to care passionately about, and I apologise for any negativity my actions have brought in our attempts to grow the game.
“Finally, I am also very grateful to Fran Alonso for accepting my apology in full following our lengthy conversation earlier in the week.
The SFA has charged McPherson with misconduct and police have opened an investigation into the incident.