The Turks were hit for a 3-0 defeat at the Santiago Bernabeu in the first leg tie, and return to Istanbul without an away goal.
“I was hoping that we'd score goals here. We had two really great chances but we couldn't put either of them away,” midfielder Melo said afterwards.
“We are leaving here feeling down as 3-0 is a tough ending. Madrid are one of the strongest teams in the world.
“It's not just that they were particularly strong tonight, they always are. That said, we needed to concentrate a bit more.
“The return game will be just as hard. Being three goals behind means we must go all out and that will mean leaving spaces in which they can play.
“Nothing is impossible in football, though. As long as there is a chance, I will always believe.
“Prior to tonight we had a 50 per cent chance of getting through. That's down to 10 per cent now.
“If we are to go out at home, let's look to do so with our heads held high.”