Police detained more than 80 people for public order offences and other infringements while around 130 fans needed medical attention after celebrations of Barcelona's fourth European title turned ugly on Saturday.
Around 50,000 gathered in the centre of the Catalan capital to mark the 3-1 victory over Manchester United at London's Wembley Stadium and most celebrated peacefully, police said in a statement on Sunday.
However, 84 people were later detained for public order offences, throwing stones and other objects, damaging city property and attacking officers, the statement said.
Some 37 police were among the injured, though none were seriously hurt.
The Barca players will display the Champions League trophy through the city on an open-top bus starting at the port later on Sunday (1530 GMT) and the procession will wind its way up to the club's giant Nou Camp stadium.