1. Round | 31/08/1958 | Grazer AK | - | Austria Wien | 3:2 | ||||
2. Round | 07/09/1958 | ÖMV Olympia | - | Grazer AK | 1:1 | ||||
6. Round | 18/10/1958 | Admira Wien | - | Grazer AK | 3:4 | ||||
7. Round | 26/10/1958 | Grazer AK | - | Wiener Sport-Club | 2:2 | ||||
8. Round | 02/11/1958 | Kremser SC | - | Grazer AK | 4:1 | ||||
9. Round | 09/11/1958 | Grazer AK | - | Wacker Wien | 1:0 | ||||
10. Round | 23/11/1958 | Rapid Wien | - | Grazer AK | 2:1 | ||||
11. Round | 30/11/1958 | Grazer AK | - | WSV Donawitz | 5:2 | ||||
12. Round | 07/12/1958 | Grazer AK | - | Linzer ASK | 2:1 | ||||
13. Round | 14/12/1958 | 1. Simmeringer SC | - | Grazer AK | 2:1 | ||||
18. Round | 04/04/1959 | Wiener AC | - | Grazer AK | 4:2 |