Fans celebrated on the pitch after the game

Officers targeted addresses in Edinburgh, Fife and Glasgow on Thursday.

It brings the total number of arrests since the Hampden game on May 21 to 28.

Detectives stressed the arrests were just the “first phase” of a large-scale investigation and that more arrests were likely over the coming weeks.

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Ten men – aged 17, 18, 21, 23, 23, 29, 29, 29, 34 and 50 – arrested on Thursday have been detained in police custody for a number of offences including alleged assault, vandalism, disorder and antisocial behaviour.

A further two men, aged 18, are the subject of a report to the Procurator Fiscal in connection with alleged disorder and assault at the game.

Detective Superintendent Kenny Graham said: “This is a large-scale investigation into the multiple acts of violence, disorder and vandalism, involving large numbers of people which occurred in the aftermath of the Scottish Cup final.

“I have a team of officers which has been working extensively to identify those individuals involved in violence and disorder, regardless of the colour of their scarf.

“Let me be very clear about this investigation; it is wide-ranging but utterly focused on those involved in violence and disorder. Due to the significant number of people concerned, there are three distinct phases to the investigation.

“Firstly focusing on those involved in the most serious acts of violence, then those involved in disorder and lastly those embroiled in acts of vandalism such as wrecking signage and goalposts.

“Identifying those concerned takes time but be in no doubt, if you were involved in these acts of disorder, expect a police officer to be knocking on your door.”

Assistant Chief Constable Bernard Higgins said: “Police Scotland will continue to work with football authorities, clubs and other organisations to help make Scottish football a safer environment for everyone to enjoy, without the threat of disorder.