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| 1st(1st leg) | Standard Liège | - | Stade Reims | 2:0 (0:0) | ||
| 2nd (2nd leg) | Stade Reims | - | Standard Liège | 3:0 (0:0) | ||
| 1st(1st leg): 04/02/1959 | 2nd (2nd leg): 18/03/1959 | Winner: Stade Reims | ||||
| 1st(1st leg) | Atlético Madrid | - | FC Schalke 04 | 3:0 (0:0) | ||
| 2nd (2nd leg) | FC Schalke 04 | - | Atlético Madrid | 1:1 (1:0) | ||
| 1st(1st leg): 04/03/1959 | 2nd (2nd leg): 18/03/1959 | Winner: Atlético Madrid | ||||
| 1st(1st leg) | Wiener Sport-Club | - | Real Madrid | 0:0 (0:0) | ||
| 2nd (2nd leg) | Real Madrid | - | Wiener Sport-Club | 7:1 (2:1) | ||
| 1st(1st leg): 04/03/1959 | 2nd (2nd leg): 18/03/1959 | Winner: Real Madrid | ||||
| 1st(1st leg) | BSC Young Boys | - | SC Wismut Karl-Marx-Stadt | 2:2 (1:1) | ||
| 2nd (2nd leg) | SC Wismut Karl-Marx-Stadt | - | BSC Young Boys | 0:0 (0:0) | ||
| 1st(1st leg): 11/03/1959 | 2nd (2nd leg): 18/03/1959 | Winner: SC Wismut Karl-Marx-Stadt | ||||
| decisive matches | ||||||
|---|---|---|---|---|---|---|
| BSC Young Boys | - | SC Wismut Karl-Marx-Stadt | 2:1 (2:0) | |||
