| Round of 16 | 24/10/1956 | TJ ÚNV Slovan Bratislava | - | Grasshopper Club Zürich | 1:0 | ||||
| Round of 16 | 12/12/1956 | Grasshopper Club Zürich | - | TJ ÚNV Slovan Bratislava | 2:0 |  |
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| Quarter-finals | 06/02/1957 | ACF Fiorentina | - | Grasshopper Club Zürich | 3:1 | ||||
| Quarter-finals | 27/02/1957 | Grasshopper Club Zürich | - | ACF Fiorentina | 2:2 |
Switzerland