| 1. Round | 16/09/1980 | Grasshopper Club Zürich | - | KB København | 3:1 | ||||
| 1. Round | 01/10/1980 | KB København | - | Grasshopper Club Zürich | 2:5 |  |
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| 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 | |
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| 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 |
Switzerland