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| 1st(1st leg) | OGC Nice | - | Real Madrid | 3:2 (0:2) | ||
| 2nd (2nd leg) | Real Madrid | - | OGC Nice | 4:0 (3:0) | ||
| 1st(1st leg): 04/02/1960 | 2nd (2nd leg): 02/03/1960 | Winner: Real Madrid | ||||
| 1st(1st leg) | FC Barcelona | - | Wolverhampton Wanderers | 4:0 (2:0) | ||
| 2nd (2nd leg) | Wolverhampton Wanderers | - | FC Barcelona | 2:5 (1:3) | ||
| 1st(1st leg): 10/02/1960 | 2nd (2nd leg): 02/03/1960 | Winner: FC Barcelona | ||||
| 1st(1st leg) | Frankfurter SG Eintracht | - | Wiener Sport-Club | 2:1 (1:0) | ||
| 2nd (2nd leg) | Wiener Sport-Club | - | Frankfurter SG Eintracht | 1:1 (1:0) | ||
| 1st(1st leg): 03/03/1960 | 2nd (2nd leg): 16/03/1960 | Winner: Frankfurter SG Eintracht | ||||
| 1st(1st leg) | RC&FC Sparta | - | Rangers FC | 2:3 (1:2) | ||
| 2nd (2nd leg) | Rangers FC | - | RC&FC Sparta | 0:1 (0:0) | ||
| 1st(1st leg): 09/03/1960 | 2nd (2nd leg): 16/03/1960 | Winner: Rangers FC | ||||
| decisive matches | ||||||
|---|---|---|---|---|---|---|
| Rangers FC | - | RC&FC Sparta | 3:2 (1:1) | |||
