Gonzalo Higuain equalised for Madrid in the second half of the match but it was not enough to prevent Barcelona celebrating their title a day early.
Barcelona take on Atletico Madrid tonight, who will be hoping to close the gap on Real, who remain second.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.