| 1. Round | 12/08/1978 | FC Sion | - | Grasshopper Club Zürich | 2:4 |  |
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| 3. Round | 23/08/1978 | Neuchâtel Xamax FC | - | FC Sion | 8:0 | ||||
| 6. Round | 09/09/1978 | FC Sion | - | FC Basel 1893 | 0:0 | ||||
| 7. Round | 16/09/1978 | FC Sion | - | FC Zürich | 2:2 | ||||
| 8. Round | 23/09/1978 | Lausanne Sports | - | FC Sion | 4:2 | ||||
| 9. Round | 30/09/1978 | FC Sion | - | FC Nordstern Basel | 1:1 | ||||
| 10. Round | 14/10/1978 | BSC Young Boys | - | FC Sion | 2:0 | ||||
| 11. Round | 21/10/1978 | FC Sion | - | CS Chênois | 1:1 | ||||
| 12. Round | 28/10/1978 | Grasshopper Club Zürich | - | FC Sion | 2:1 | ||||
| 13. Round | 05/11/1978 | FC Sion | - | FC St. Gallen | 0:1 | ||||
| 14. Round | 18/11/1978 | FC Chiasso | - | FC Sion | 0:2 | ||||
| 15. Round | 26/11/1978 | FC Sion | - | Servette FC | 1:5 | ||||
| 16. Round | 03/12/1978 | FC Basel 1893 | - | FC Sion | 2:0 | ||||
| 17. Round | 04/03/1979 | FC Zürich | - | FC Sion | 4:0 |
Switzerland