| 3. Round | 20/09/1958 | 1. Simmeringer SC | - | Austria Wien | 1:3 | ||||
| 4. Round | 28/09/1958 | WSV Donawitz | - | Austria Wien | 3:1 | ||||
| 5. Round | 11/10/1958 | Austria Wien | - | ÖMV Olympia | 6:1 | ||||
| 6. Round | 19/10/1958 | Kapfenberger SV | - | Austria Wien | 0:0 | ||||
| 8. Round | 01/11/1958 | Wiener AC | - | Austria Wien | 3:0 |
Hungary