| 21. Round | 11/01/1998 | St. Johnstone FC | - | Heart of Midlothian | 2:3 |  |
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| 22. Round | 16/01/1998 | Kilmarnock FC | - | Heart of Midlothian | 2:2 | ||||
| 23. Round | 30/01/1998 | Heart of Midlothian | - | Dundee United | 2:0 | ||||
| 24. Round | 07/02/1998 | Heart of Midlothian | - | Celtic FC | 1:1 | ||||
| 25. Round | 20/02/1998 | Motherwell FC | - | Heart of Midlothian | 2:4 | ||||
| 28. Round | 13/03/1998 | Heart of Midlothian | - | Kilmarnock FC | 1:1 |  |
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| 29. Round | 20/03/1998 | Dundee United | - | Heart of Midlothian | 0:1 | ||||
| 31. Round | 07/04/1998 | Heart of Midlothian | - | Motherwell FC | 1:1 | ||||
| 32. Round | 10/04/1998 | Hibernian FC | - | Heart of Midlothian | 2:1 | ||||
| 33. Round | 17/04/1998 | Heart of Midlothian | - | St. Johnstone FC | 1:1 | |
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| 34. Round | 24/04/1998 | Heart of Midlothian | - | Rangers FC | 0:3 | ||||
| 35. Round | 01/05/1998 | Aberdeen FC | - | Heart of Midlothian | 2:2 | |
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| 36. Round | 08/05/1998 | Heart of Midlothian | - | Dunfermline Athletic | 2:0 |
Scotland