| 1. Round | 12/08/1978 | FC Chiasso | - | FC Basel 1893 | 2:1 | ||||
| 2. Round | 19/08/1978 | FC Chiasso | - | Servette FC | 2:2 | ||||
| 3. Round | 23/08/1978 | FC St. Gallen | - | FC Chiasso | 2:0 | ||||
| 4. Round | 26/08/1978 | FC Sion | - | FC Chiasso | 0:3 | ||||
| 5. Round | 02/09/1978 | FC Chiasso | - | FC Zürich | 1:2 | ||||
| 6. Round | 09/09/1978 | Lausanne Sports | - | FC Chiasso | 4:3 | ||||
| 7. Round | 16/09/1978 | FC Chiasso | - | FC Nordstern Basel | 2:2 | ||||
| 10. Round | 14/10/1978 | Neuchâtel Xamax FC | - | FC Chiasso | 4:2 |  |
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| 11. Round | 21/10/1978 | FC Chiasso | - | Grasshopper Club Zürich | 1:1 | ||||
| 15. Round | 26/11/1978 | FC Zürich | - | FC Chiasso | 2:0 | ||||
| 16. Round | 02/12/1978 | FC Chiasso | - | Lausanne Sports | 1:0 | ||||
| 20. Round | 31/03/1979 | FC Chiasso | - | Neuchâtel Xamax FC | 0:3 | ||||
| 22. Round | 07/04/1979 | Grasshopper Club Zürich | - | FC Chiasso | 4:0 | |
Switzerland