Their aggressive start paid off quickly as Brazilian midfielder Felipe Melo raised the roof in the 10th minute with a powerful header.
Dutchman Wesley Sneijder found the net with a classy right-foot shot after receiving a pass from Eboue in the 38th minute.
Eboue was the creator again in first-half stoppage time allowing veteran striker Drogba to make it 3-0.
Copenhagen pulled one back minutes before the final whistle when Claudemir poked the ball past Fernando Muslera.
(Writing by Ece Toksabay; editing by Martyn Herman)
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