Police say missiles were thrown at them and windows smashed as large groups engaged in violence and disorder in Glasgow city centre.
Officers were called to Argyle Street and premises were targeted on Howard Street on Sunday as large groups gathered with scenes of violence shared online.
A Superintendent of Police Scotland exercised Section 60 of the Criminal Justice and Public order Act of 1994 to grant officers extra powers.
It allows officers to stop and search people where this is appropriate and necessary, either in vehicles or on foot.
This power, which police say is only authorised when absolutely necessary, also allows officers to require the removal of any item the officer believes is being used wholly or partly for the purposes of concealing their identity.
Police said the Section 60 stop and search power remains in force in various areas including the city centre and parts of the South Side, East End and into South Lanarkshire until 9pm on Sunday.
The scenes of disorder come ahead of Celtic facing Rangers in the Premier Sports Cup final at Hampden.
Chief Superintendent Stevie Dolan said: “We have dealt with a number of incidents in Glasgow city centre today involving individuals engaging in disorder and violence across the city.
“Officers have had to act swiftly and robustly to ensure public safety and reduce disorder.
“The use of weapons or violence will not be tolerated and officers will take action where necessary to ensure safety.
“It impacts other members of the public and the vast majority of football supporters who want to enjoy the cup final event safely.
“Officers will remain in the city as our operation continues and anyone with any concerns can approach them.”
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