| 11. Round | 03/11/1995 | Heart of Midlothian | - | Partick Thistle | 3:0 | ||||
| 12. Round | 06/11/1995 | Motherwell FC | - | Heart of Midlothian | 0:0 | ||||
| 13. Round | 10/11/1995 | Heart of Midlothian | - | Kilmarnock FC | 2:1 | ||||
| 15. Round | 24/11/1995 | Celtic FC | - | Heart of Midlothian | 3:1 |  |
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| 19. Round | 31/12/1995 | Hibernian FC | - | Heart of Midlothian | 2:1 | ||||
| 22. Round | 09/01/1996 | Heart of Midlothian | - | Motherwell FC | 4:0 | ||||
| 25. Round | 02/02/1996 | Heart of Midlothian | - | Raith Rovers | 2:0 | ||||
| 27. Round | 23/02/1996 | Kilmarnock FC | - | Heart of Midlothian | 0:2 | ||||
| 30. Round | 22/03/1996 | Heart of Midlothian | - | Partick Thistle | 2:5 |
Scotland