| 3. Round | 23/08/1978 | ASVS Dukla Praha | - | TJ Tatran Prešov | 3:0 | ||||
| 5. Round | 17/09/1978 | TJ Spartak TAZ Trnava | - | TJ Tatran Prešov | 0:0 | ||||
| 6. Round | 24/09/1978 | TJ Tatran Prešov | - | TJ Škoda Plzeň | 1:1 | ||||
| 7. Round | 07/10/1978 | TJ Zbrojovka Brno | - | TJ Tatran Prešov | 0:0 | ||||
| 8. Round | 14/10/1978 | TJ Tatran Prešov | - | TJ Bohemians ČKD Praha | 2:2 | ||||
| 9. Round | 22/10/1978 | ASVŠ Dukla Banská Bystrica | - | TJ Tatran Prešov | 3:0 | ||||
| 10. Round | 29/10/1978 | TJ Tatran Prešov | - | TJ Slovan ChZJD Bratislava | 1:0 | ||||
| 11. Round | 04/11/1978 | SK Slavia Praha IPS | - | TJ Tatran Prešov | 5:1 | ||||
| 18. Round | 10/03/1979 | TJ Tatran Prešov | - | ASVS Dukla Praha | 2:1 | ||||
| 21. Round | 08/04/1979 | TJ Škoda Plzeň | - | TJ Tatran Prešov | 1:1 | ||||
| 22. Round | 14/04/1979 | TJ Tatran Prešov | - | TJ Zbrojovka Brno | 1:3 |
Slovakia