| 1. Round | 05/04/2004 | IF Elfsborg | - | Örgryte IS | 1:2 |  |
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| 2. Round | 12/04/2004 | Örgryte IS | - | Hammarby IF | 0:0 | ||||
| 3. Round | 18/04/2004 | GIF Sundsvall | - | Örgryte IS | 1:1 | |
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| 4. Round | 22/04/2004 | Örgryte IS | - | AIK Solna | 1:1 | ||||
| 5. Round | 04/05/2004 | Örgryte IS | - | IFK Göteborg | 1:2 |
Sweden