| 2. Round | 22/10/1980 | FC Porto | - | Grasshopper Club Zürich | 2:0 | ||||
| 2. Round | 04/11/1980 | Grasshopper Club Zürich | - | FC Porto | 3:0 aet | ||||
| Round of 16 | 25/11/1980 | Grasshopper Club Zürich | - | Torino FC | 2:1 | ||||
| Round of 16 | 09/12/1980 | Torino FC | - | Grasshopper Club Zürich | 3:4 pso | ||||
| Quarter-finals | 03/03/1981 | Grasshopper Club Zürich | - | FC Sochaux | 0:0 | ||||
| Quarter-finals | 17/03/1981 | FC Sochaux | - | Grasshopper Club Zürich | 2:1 |
Switzerland