| 1. Round | 09/09/1996 | Brøndby IF | - | FC Aarau | 5:0 | ||||
| 1. Round | 23/09/1996 | FC Aarau | - | Brøndby IF | 0:2 |  |
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| 2. Round | 14/10/1996 | Aberdeen FC | - | Brøndby IF | 0:2 | ||||
| 2. Round | 28/10/1996 | Brøndby IF | - | Aberdeen FC | 0:0 | ||||
| Round of 16 | 18/11/1996 | Brøndby IF | - | Karlsruher SC | 1:3 | ||||
| Round of 16 | 02/12/1996 | Karlsruher SC | - | Brøndby IF | 0:5 | ||||
| Quarter-finals | 03/03/1997 | CD Tenerife | - | Brøndby IF | 0:1 | ||||
| Quarter-finals | 17/03/1997 | Brøndby IF | - | CD Tenerife | 0:2 aet |
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