1. Round | 12/08/1978 | FC Zürich | - | Neuchâtel Xamax FC | 1:1 | ||||
2. Round | 19/08/1978 | Grasshopper Club Zürich | - | FC Zürich | 2:1 | ||||
3. Round | 23/08/1978 | CS Chênois | - | FC Zürich | 3:0 | ||||
4. Round | 26/08/1978 | FC Zürich | - | FC St. Gallen | 5:0 | ||||
11. Round | 22/10/1978 | FC Zürich | - | BSC Young Boys | 4:1 |