1. Round | 31/08/1958 | Grazer AK | - | Austria Wien | 3:2 | ||||
3. Round | 21/09/1958 | Grazer AK | - | Kapfenberger SV | 1:4 | ||||
4. Round | 27/09/1958 | First Vienna FC | - | Grazer AK | 2:0 | ||||
21. Round | 25/04/1959 | Grazer AK | - | Kremser SC | 2:1 | ||||
23. Round | 10/05/1959 | Grazer AK | - | Rapid Wien | 2:1 |