Cesc Fabregas pulled one back for the Catalans but they still trailed 2-1 a minute before the end of normal time.
The former Arsenal midfielder then scored again, before David Villa netted four minutes into injury time to clinch three points and retain Barcelona’s 100% record.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.