| 1. Round | 12/10/1958 | SC Wismut Karl-Marx-Stadt | - | Petrolul Ploieşti | 4:0 |  |
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| Round of 16 | 09/11/1958 | IFK Göteborg | - | SC Wismut Karl-Marx-Stadt | 2:2 | |
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| Round of 16 | 15/11/1958 | SC Wismut Karl-Marx-Stadt | - | IFK Göteborg | 4:0 | |
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| Quarter-finals | 11/03/1959 | BSC Young Boys | - | SC Wismut Karl-Marx-Stadt | 2:2 | |
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| Quarter-finals | 18/03/1959 | SC Wismut Karl-Marx-Stadt | - | BSC Young Boys | 0:0 | ||||
| Quarter-finals | 01/04/1959 | BSC Young Boys | - | SC Wismut Karl-Marx-Stadt | 2:1 |
Germany