| 19. Jornada | 25.01.2005 | Livingston FC | - | Heart of Midlothian | 1:2 | ||||
| 24. Jornada | 29.01.2005 | Heart of Midlothian | - | Aberdeen FC | 1:0 | ||||
| 25. Jornada | 12.02.2005 | Heart of Midlothian | - | Kilmarnock FC | 3:0 |  |
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| 26. Jornada | 19.02.2005 | Motherwell FC | - | Heart of Midlothian | 2:0 | ||||
| 27. Jornada | 02.03.2005 | Heart of Midlothian | - | Rangers FC | 1:2 |  |
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| 33. Jornada | 16.04.2005 | Dundee United | - | Heart of Midlothian | 2:1 |
Lituania