| 1. Runde | 13.09.1978 | Grasshopper Club Zürich | - | Valletta FC | 8:0 | ||||
| 1. Runde | 27.09.1978 | Valletta FC | - | Grasshopper Club Zürich | 3:5 | ||||
| Achtelfinale | 18.10.1978 | Real Madrid | - | Grasshopper Club Zürich | 3:1 | ||||
| Achtelfinale | 01.11.1978 | Grasshopper Club Zürich | - | Real Madrid | 2:0 | ||||
| Viertelfinale | 07.03.1979 | Nottingham Forest | - | Grasshopper Club Zürich | 4:1 |  |
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| Viertelfinale | 21.03.1979 | Grasshopper Club Zürich | - | Nottingham Forest | 1:1 |
Schweiz