Rubin stunned the holders in Madrid, whilst Anzhi Makhachkala fought back from 1-0 down to beat Hannover 3-1.
Zenit St Petersburg also had an impressive victory, beating Liverpool 2-0. Elsewhere Chelsea beat Sparta Prague 1-0, Tottenham beat Lyon 2-1 and Inter Milan overcame CFR Cluj 2-0. Napoli were stunned 3-0 by Viktoria Plzen.
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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.