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 | ||||
10. Round | 23/11/1958 | Admira Wien | - | ÖMV Olympia | 4:2 | ||||
11. Round | 30/11/1958 | Kapfenberger SV | - | Admira Wien | 1:0 | ||||
12. Round | 07/12/1958 | Admira Wien | - | First Vienna FC | 4:1 | ||||
13. Round | 14/12/1958 | Wiener AC | - | Admira Wien | 2:0 |