| 3. Round | 22/08/1997 | Dunfermline Athletic | - | Heart of Midlothian | 2:1 | ||||
| 4. Round | 29/08/1997 | Hibernian FC | - | Heart of Midlothian | 0:1 | ||||
| 5. Round | 12/09/1997 | St. Johnstone FC | - | Heart of Midlothian | 1:2 | ||||
| 6. Round | 19/09/1997 | Heart of Midlothian | - | Dundee United | 2:1 | ||||
| 7. Round | 26/09/1997 | Kilmarnock FC | - | Heart of Midlothian | 0:3 |  |
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| 8. Round | 03/10/1997 | Motherwell FC | - | Heart of Midlothian | 1:4 | ||||
| 9. Round | 17/10/1997 | Heart of Midlothian | - | Celtic FC | 1:2 | ||||
| 10. Round | 28/10/1997 | Heart of Midlothian | - | Dunfermline Athletic | 3:1 | ||||
| 11. Round | 31/10/1997 | Aberdeen FC | - | Heart of Midlothian | 1:4 | ||||
| 15. Round | 08/12/1997 | Dundee United | - | Heart of Midlothian | 0:0 | ||||
| 17. Round | 12/12/1997 | Celtic FC | - | Heart of Midlothian | 1:0 | ||||
| 36. Round | 08/05/1998 | Heart of Midlothian | - | Dunfermline Athletic | 2:0 |
Scotland