| 1. Round | 25/04/2004 | Heart of Midlothian | - | Celtic FC | 1:1 | ||||
| 2. Round | 01/05/2004 | Dundee United | - | Heart of Midlothian | 0:2 |  |
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| 3. Round | 08/05/2004 | Heart of Midlothian | - | Dunfermline Athletic | 2:1 | ||||
| 4. Round | 12/05/2004 | Rangers FC | - | Heart of Midlothian | 0:1 | ||||
| 5. Round | 16/05/2004 | Heart of Midlothian | - | Motherwell FC | 3:2 |
Scotland
