1. Round | 31/08/1958 | Grazer AK | - | Austria Wien | 3:2 | ||||
2. Round | 07/09/1958 | ÖMV Olympia | - | Grazer AK | 1:1 | ||||
3. Round | 21/09/1958 | Grazer AK | - | Kapfenberger SV | 1:4 | ||||
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 | ||||
18. Round | 04/04/1959 | Wiener AC | - | Grazer AK | 4:2 | ||||
19. Round | 12/04/1959 | Grazer AK | - | Admira Wien | 1:0 | ||||
20. Round | 19/04/1959 | Wiener Sport-Club | - | Grazer AK | 6:0 | ||||
24. Round | 31/05/1959 | WSV Donawitz | - | Grazer AK | 4:2 | ||||
25. Round | 07/06/1959 | Linzer ASK | - | Grazer AK | 1:0 |