Before the half hour mark, Toni Kroos sent in a free-kick from the touchline and Karim Benzema headed into the back of the net.
It was a delightful ball in and Real Madrid hit the front after Garry Rodrigues had given the Turks the lead.
Fenerbahce set off alarm bells in the Real Madrid camp by taking advantage once again of Real Madrid's awful marking.
Shortly after Benzema made it 2-1, Dirar punished Real with a strike which deflected off a defender and left Keylor Navas with no chance.