Real went ahead early on through a Cristiano Ronaldo free kick, before the Portuguese set up Mesut Ozil for the second in the second half.
Atletico were unable to muster any real resistance but remain five points ahead of Real in 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.