| 17. Round | 09/03/1958 | Kremser SC | - | First Vienna FC | 2:5 | ||||
| 22. Round | 19/04/1958 | Wacker Wien | - | First Vienna FC | 2:3 | ||||
| 23. Round | 27/04/1958 | First Vienna FC | - | FC Wien | 4:0 | ||||
| 24. Round | 29/04/1958 | 1. Simmeringer SC | - | First Vienna FC | 1:3 | ||||
| 18. Round | 07/05/1958 | First Vienna FC | - | Wiener Sport-Club | 1:2 | ||||
| 26. Round | 11/05/1958 | Admira Wien | - | First Vienna FC | 2:2 |
Austria