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Nathan Tella's second-half strike proved the difference as Xabi Alonso's side booked a place in the quarter-finals.

Bayern reduced to 10 men after just 17 minutes, when Manuel Neuer received the first red card of his career after bringing down Jeremie Frimpong just outside the box.

Despite the numerical disadvantage, Vincent Kompany's side created the better chances during the first half, with Kingsley Coman, Konrad Laimer and Leon Goretzka going close.

However, the visitor broke through against the run of play in the 69th minute, when Tella nodded in from Alex Grimaldo's cross.

Michael Olise almost snatched a dramatic equaliser with a curling effort in stoppage time, but Leverkusen survived to maintain its title defence.