| 1. Ronde | 31.08.1958 | Linzer ASK | - | 1. Simmeringer SC | 2:3 |  |
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| 2. Ronde | 06.09.1958 | Austria Wien | - | Linzer ASK | 4:3 | |
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| 3. Ronde | 21.09.1958 | Linzer ASK | - | ÖMV Olympia | 3:2 | ||||
| 4. Ronde | 28.09.1958 | Kapfenberger SV | - | Linzer ASK | 0:4 | ||||
| 5. Ronde | 12.10.1958 | Linzer ASK | - | First Vienna FC | 2:1 | ||||
| 7. Ronde | 26.10.1958 | Linzer ASK | - | Admira Wien | 1:3 |
Oostenrijk