Gareth Taylor’s side face the Spanish outfit in the Round One final in a 20:00 (UK) kick-off on Sunday 21 August.
City beat Tomiris-Turan 6-0 in the first-round semi-final on Thursday, whilst Madrid overcome Sturm Graz by the same scoreline to set up the clash at the Alfredo Di Stefano Stadium.
The winner will progress to Round Two of the competition’s League Path, leaving them two games away from qualifying for the Group Stage.
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