| ScPS | 24.01.04 | Heart of Midlothian | - | Partick Thistle | 2:0 | ||||
| ScPS | 07.03.04 | Kilmarnock FC | - | Heart of Midlothian | 1:1 | ||||
| ScPS | 24.10.04 | Heart of Midlothian | - | Hibernian FC | 2:1 |  |
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| ScPS | 26.12.04 | Heart of Midlothian | - | Celtic FC | 0:2 | ||||
| ScPS | 29.01.05 | Heart of Midlothian | - | Aberdeen FC | 1:0 | ||||
| ScPS | 23.04.05 | Hibernian FC | - | Heart of Midlothian | 2:2 |
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