English-born Turkey striker Colin Kazim-Richards cancels out Deivid's 13th-minute own goal.
Complete Coverage: UEFA Champions League
Substitute Kazim-Richards, who moved to Fenerbahce from English Championship (second division) side Sheffield United in 2007, equalised in the 65th minute when he beat the offside trap and rifled his shot past Carlo Cudicini.
Deivid then turned matchwinner in the 81st minute when he picked up a pass deep in the Chelsea half and gave Cudicini no chance with a thunderbolt that flew into the top corner.