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This will be the 22-time Grand Slam champion's fourth appearance at the three-day team tournament, which pits six top men's players from Europe against six of their counterparts from the rest of the world.
The result left second-placed Barca 11 points adrift of the leaders with six games left.
PSG will face Borussia Dortmund in the semifinals after the Germans beat Atletico Madrid.
PSG came into the match unbeaten in their last 27 games in all competitions but were undone by a fired-up Barcelona side looking to return the club to the summit of European football.
Islamic State was alleged to have threatened four venues for this week's Champions League matches, including the Parc des Princes in Paris and two games in Madrid hosted by Real Madrid and Atletico Madrid.
Bilbao are the fourth oldest Spanish club and among three never to be relegated, alongside Real Madrid and Barcelona.
Rubiales was returning to Spain amid a judicial probe into the business deal to hold the Spanish Super Cup in Saudi Arabia.
Prosecutor Marta Durantez charged Rubiales with one count of sexual assault and one of coercion for his alleged actions in the aftermath of the kiss, offences carrying jail terms of one year and 18 months, respectively.
He did not address reporters at the entrance of the prison before climbing into a white vehicle.
The conditions for Alves' release include relinquishing both his Brazilian and Spanish passports so he cannot leave Spain as well as an obligation to appear before the court on a weekly basis or whenever summoned.