| 7. Round | 21/08/1998 | Grasshopper Club Zürich | - | Servette FC | 3:0 | ||||
| 11. Round | 19/09/1998 | Grasshopper Club Zürich | - | FC Luzern | 2:0 | ||||
| 15. Round | 27/10/1998 | Grasshopper Club Zürich | - | FC Sion | 4:1 | ||||
| 16. Round | 30/10/1998 | FC Aarau | - | Grasshopper Club Zürich | 0:3 | ||||
| 17. Round | 08/11/1998 | Grasshopper Club Zürich | - | FC Zürich | 1:2 | ||||
| 18. Round | 13/11/1998 | Servette FC | - | Grasshopper Club Zürich | 2:0 | ||||
| 19. Round | 21/11/1998 | Grasshopper Club Zürich | - | FC Basel 1893 | 2:1 | ||||
| 20. Round | 29/11/1998 | Neuchâtel Xamax FC | - | Grasshopper Club Zürich | 0:2 | ||||
| 21. Round | 05/12/1998 | Grasshopper Club Zürich | - | FC St. Gallen | 4:1 | ||||
| 22. Round | 13/12/1998 | FC Luzern | - | Grasshopper Club Zürich | 1:0 |
Switzerland