Los Blancos cruised to a 4-0 win thanks to goals from Gonzalo Higuain, Angel di Maria, Michael Essien and Luka Modric.
Mourinho is only the fifth man to reach the milestone, and it was all the sweeter as rivals Atletico Madrid lost their unbeaten run to Valencia.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?