| 17. Round | 08/12/1978 | Admira/Wacker | - | SK VOEST Linz | 2:0 | ||||
| 18. Round | 15/12/1978 | SSW Innsbruck | - | Admira/Wacker | 0:2 | ||||
| 19. Round | 23/02/1979 | Admira/Wacker | - | Wr. Sportclub/Post | 4:0 | ||||
| 21. Round | 09/03/1979 | Admira/Wacker | - | Austria Wien | 1:3 | ||||
| 22. Round | 16/03/1979 | SV Austria Salzburg | - | Admira/Wacker | 1:1 | ||||
| 23. Round | 24/03/1979 | Admira/Wacker | - | First Vienna FC | 2:1 | ||||
| 29. Round | 04/05/1979 | Admira/Wacker | - | Sturm Graz | 0:1 | ||||
| 30. Round | 12/05/1979 | Austria Wien | - | Admira/Wacker | 2:1 | ||||
| 36. Round | 22/06/1979 | SSW Innsbruck | - | Admira/Wacker | 1:3 |  |
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Uruguay