| 3. Round | 20/04/1996 | IFK Göteborg | - | Malmö FF | 0:0 | ||||
| 4. Round | 27/04/1996 | Malmö FF | - | Örebro SK | 2:0 | ||||
| 1. Round | 01/05/1996 | AIK Solna | - | Malmö FF | 0:1 |  |
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| 6. Round | 12/05/1996 | Malmö FF | - | Halmstads BK | 4:1 |  |
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| 7. Round | 18/05/1996 | Östers IF | - | Malmö FF | 1:0 | ||||
| 9. Round | 04/06/1996 | Trelleborgs FF | - | Malmö FF | 1:1 | ||||
| 10. Round | 11/06/1996 | Malmö FF | - | IFK Norrköping | 0:0 | ||||
| 11. Round | 15/06/1996 | Umeå FC | - | Malmö FF | 0:1 | |
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| 2. Round | 19/06/1996 | Malmö FF | - | Örgryte IS | 0:2 | |
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| 12. Round | 23/06/1996 | Malmö FF | - | IK Oddevold | 1:1 |
Sweden