Medipol Basaksehir previously beat Copenhagen 1-0 in the first leg match when they hosted the rivals in Istanbul.
However, the Denmark club hammered the Super Lig champions 3-0 at Parken Stadium in the second leg and they moved to quarterfinal with a 3-1 on aggregate.
Jonas Wind (2) and Rasmus Falk's goals sealed the victory for Copenhagen. The Denmark side will take on Manchester United in the next phase.