| 2. Round | 08/04/1978 | BSC Young Boys | - | CS Chênois | 0:0 | ||||
| 3. Round | 14/04/1978 | Etoile Carouge FC | - | CS Chênois | 1:5 | ||||
| 4. Round | 19/04/1978 | CS Chênois | - | Neuchâtel Xamax FC | 2:0 | ||||
| 5. Round | 22/04/1978 | FC St. Gallen | - | CS Chênois | 0:0 | ||||
| 6. Round | 29/04/1978 | FC Young Fellows Zürich | - | CS Chênois | 1:5 | ||||
| 7. Round | 06/05/1978 | CS Chênois | - | BSC Young Boys | 2:2 | ||||
| 8. Round | 20/05/1978 | CS Chênois | - | Etoile Carouge FC | 1:2 | ||||
| 9. Round | 24/05/1978 | Neuchâtel Xamax FC | - | CS Chênois | 3:0 |  |
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| 10. Round | 27/05/1978 | CS Chênois | - | FC St. Gallen | 0:0 |
England