Five people were arrested outside Parkhead following the Celtic v Lazio clash last night.
Four were held for breach of the peace while one was nicked due to possessing alcohol and resisting arrest.
Five fans were also ejected from the stadium and three reported to the Procurator Fiscal. No further details have been released.
A spokesman for the force have also confirmed to Glasgow Live they were investigating reports of Lazio supporters making fascist salutes as they walked through the streets of Glasgow's city centre.
Celtic beat Lazio 2-1 in the Europa League tie at Parkhead and will head to Rome for next month's return fixture.
Have you downloaded the new and improved Glasgow Live app? Get all the latest news and events at the touch of a button on Android and Apple.
