| 11. Round | 17/11/1957 | Kapfenberger SV | - | Wacker Wien | 2:1 | ||||
| 12. Round | 24/11/1957 | FC Wien | - | Kapfenberger SV | 2:2 | ||||
| 13. Round | 01/12/1957 | Kapfenberger SV | - | 1. Simmeringer SC | 3:1 | ||||
| 14. Round | 08/12/1957 | Kapfenberger SV | - | Wiener AC | 1:1 | ||||
| 25. Round | 04/05/1958 | Kapfenberger SV | - | FC Wien | 4:0 | ||||
| 18. Round | 08/05/1958 | Kapfenberger SV | - | Sturm Graz | 2:1 | ||||
| 26. Round | 11/05/1958 | 1. Simmeringer SC | - | Kapfenberger SV | 0:1 |
Austria