| 3. Round | 20/04/1996 | IK Oddevold | - | Trelleborgs FF | 3:0 | ||||
| 4. Round | 28/04/1996 | Östers IF | - | IK Oddevold | 0:1 | ||||
| 1. Round | 01/05/1996 | IK Oddevold | - | IFK Göteborg | 0:2 |  |
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| 5. Round | 04/05/1996 | IK Oddevold | - | Umeå FC | 2:1 | ||||
| 6. Round | 12/05/1996 | Djurgårdens IF | - | IK Oddevold | 2:1 | ||||
| 8. Round | 26/05/1996 | IFK Norrköping | - | IK Oddevold | 1:1 | ||||
| 10. Round | 08/06/1996 | Örebro SK | - | IK Oddevold | 2:0 | ||||
| 16. Round | 16/08/1996 | IFK Göteborg | - | IK Oddevold | 5:1 |
Sweden