| 19. Round | 12/03/1978 | TJ Tatran Prešov | - | TJ Lokomotíva Košice | 4:1 | ||||
| 23. Round | 07/05/1978 | TJ Tatran Prešov | - | TJ Sparta ČKD Praha | 3:0 |  |
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| 25. Round | 25/05/1978 | TJ Tatran Prešov | - | TJ Zbrojovka Brno | 2:2 | ||||
| 27. Round | 05/06/1978 | TJ Slovan ChZJD Bratislava | - | TJ Tatran Prešov | 4:0 | ||||
| 28. Round | 08/06/1978 | TJ Tatran Prešov | - | TJ Bohemians ČKD Praha | 3:0 | ||||
| 29. Round | 12/06/1978 | TJ Baník Ostrava OKD | - | TJ Tatran Prešov | 2:1 | ||||
| 30. Round | 19/06/1978 | TJ Tatran Prešov | - | TJ Spartak TAZ Trnava | 2:2 |
Slovakia