The tie was level at the break after a scintillating opening half, with Real going ahead three times on the night.

Arda Guler pounced on a loose Manuel Neuer pass to put the visitors ahead after just 34 seconds and scored again from a free-kick after Aleksandar Pavlovic equalised.

Harry Kane put Bayern ahead in the tie only for Kylian Mbappe to restore parity overall when he put Madrid 3-2 up before half-time.

Eduardo Camavinga was sent off for a second yellow with four minutes left and Bayern pushed forward, Diaz blasting into the corner from outside the box after a crucial deflection.

With Real pressing for an equaliser, Bayern broke and Olise curled in a magnificent shot to rubberstamp their tickets to the last four, where Luis Enrique's reigning European champions await.

Tempers boiled over after the final whistle with Guler picking up a straight red for confronting the referee.