1. Round | 30/08/1958 | Admira Wien | - | WSV Donawitz | 8:1 | ||||
2. Round | 07/09/1958 | Admira Wien | - | Wiener Sport-Club | 1:1 | ||||
3. Round | 21/09/1958 | Kremser SC | - | Admira Wien | 3:2 | ||||
4. Round | 28/09/1958 | Admira Wien | - | Wacker Wien | 1:3 | ||||
6. Round | 18/10/1958 | Admira Wien | - | Grazer AK | 3:4 | ||||
10. Round | 23/11/1958 | Admira Wien | - | ÖMV Olympia | 4:2 | ||||
11. Round | 30/11/1958 | Kapfenberger SV | - | Admira Wien | 1:0 |