| 1. Round | 02/10/1985 | Hammarby IF | - | FC Pirin | 4:0 | ||||
| 2. Round | 23/10/1985 | Hammarby IF | - | St. Mirren FC | 3:3 |  |
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| 2. Round | 05/11/1985 | St. Mirren FC | - | Hammarby IF | 1:2 | |
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| Round of 16 | 26/11/1985 | Hammarby IF | - | 1. FC Köln | 2:1 | ||||
| Round of 16 | 10/12/1985 | 1. FC Köln | - | Hammarby IF | 3:1 | |
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