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| 1st(1st leg) | Sporting CP | - | Standard Liège | 2:3 (1:1) | ||
| 2nd (2nd leg) | Standard Liège | - | Sporting CP | 3:0 (0:0) | ||
| 1st(1st leg): 29/10/1958 | 2nd (2nd leg): 12/11/1958 | Winner: Standard Liège | ||||
| 1st(1st leg) | Wiener Sport-Club | - | AS Dukla Praha | 3:1 (1:0) | ||
| 2nd (2nd leg) | AS Dukla Praha | - | Wiener Sport-Club | 1:0 (0:0) | ||
| 1st(1st leg): 05/11/1958 | 2nd (2nd leg): 28/11/1958 | Winner: Wiener Sport-Club | ||||
| 1st(1st leg) | MTK | - | BSC Young Boys | 1:2 (0:0) | ||
| 2nd (2nd leg) | BSC Young Boys | - | MTK | 4:1 (2:0) | ||
| 1st(1st leg): 05/11/1958 | 2nd (2nd leg): 28/11/1958 | Winner: BSC Young Boys | ||||
| 1st(1st leg) | Atlético Madrid | - | CDNA Sofia | 2:1 (0:0) | ||
| 2nd (2nd leg) | CDNA Sofia | - | Atlético Madrid | 1:0 (0:0) | ||
| 1st(1st leg): 05/11/1958 | 2nd (2nd leg): 28/11/1958 | Winner: CDNA Sofia | ||||
| 1st(1st leg) | IFK Göteborg | - | SC Wismut Karl-Marx-Stadt | 2:2 (2:0) | ||
| 2nd (2nd leg) | SC Wismut Karl-Marx-Stadt | - | IFK Göteborg | 4:0 (1:0) | ||
| 1st(1st leg): 09/11/1958 | 2nd (2nd leg): 15/11/1958 | Winner: SC Wismut Karl-Marx-Stadt | ||||
| 1st(1st leg) | Wolverhampton Wanderers | - | FC Schalke 04 | 2:2 (0:1) | ||
| 2nd (2nd leg) | FC Schalke 04 | - | Wolverhampton Wanderers | 2:1 (2:0) | ||
| 1st(1st leg): 12/11/1958 | 2nd (2nd leg): 18/11/1958 | Winner: FC Schalke 04 | ||||
| 1st(1st leg) | Real Madrid | - | Beşiktaş | 2:0 (0:0) | ||
| 2nd (2nd leg) | Beşiktaş | - | Real Madrid | 1:1 (0:1) | ||
| 1st(1st leg): 13/11/1958 | 2nd (2nd leg): 27/11/1958 | Winner: Real Madrid | ||||
| 1st(1st leg) | Stade Reims | - | HPS Helsinki | 4:0 (2:0) | ||
| 2nd (2nd leg) | HPS Helsinki | - | Stade Reims | 0:3 (0:3) | ||
| 1st(1st leg): 26/11/1958 | 2nd (2nd leg): 03/12/1958 | Winner: Stade Reims | ||||
| decisive matches | ||||||
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| Atlético Madrid | - | CDNA Sofia | 3:1 (1:1, 1:1) aet | |||
