| 2. Round | 19/08/1978 | FC Basel 1893 | - | BSC Young Boys | 2:2 | ||||
| 3. Round | 23/08/1978 | FC Nordstern Basel | - | FC Basel 1893 | 1:1 | ||||
| 4. Round | 26/08/1978 | Servette FC | - | FC Basel 1893 | 6:0 | ||||
| 5. Round | 02/09/1978 | FC Basel 1893 | - | CS Chênois | 2:1 | ||||
| 7. Round | 16/09/1978 | FC Basel 1893 | - | Neuchâtel Xamax FC | 5:2 | ||||
| 8. Round | 24/09/1978 | FC Zürich | - | FC Basel 1893 | 1:1 | ||||
| 9. Round | 30/09/1978 | FC Basel 1893 | - | Grasshopper Club Zürich | 3:2 | ||||
| 10. Round | 14/10/1978 | Lausanne Sports | - | FC Basel 1893 | 0:1 | ||||
| 11. Round | 22/10/1978 | FC Basel 1893 | - | FC St. Gallen | 4:2 |  |
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| 12. Round | 29/10/1978 | FC Basel 1893 | - | FC Chiasso | 4:0 | |
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| 13. Round | 04/11/1978 | BSC Young Boys | - | FC Basel 1893 | 2:0 | ||||
| 14. Round | 19/11/1978 | FC Basel 1893 | - | Servette FC | 4:1 | ||||
| 15. Round | 25/11/1978 | CS Chênois | - | FC Basel 1893 | 1:0 | ||||
| 16. Round | 03/12/1978 | FC Basel 1893 | - | FC Sion | 2:0 |
Switzerland