| 1. Round | 21/04/2012 | Heart of Midlothian | - | Rangers FC | 0:3 | ||||
| 2. Round | 28/04/2012 | Dundee United | - | Heart of Midlothian | 2:2 |  |
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| 3. Round | 01/05/2012 | Heart of Midlothian | - | Motherwell FC | 0:1 | ||||
| 4. Round | 06/05/2012 | Heart of Midlothian | - | St. Johnstone FC | 2:0 | ||||
| 5. Round | 13/05/2012 | Celtic FC | - | Heart of Midlothian | 5:0 |
Lithuania