| 5. Round | 08/10/1978 | Athletic Club | - | UD Salamanca | 3:0 | ||||
| 8. Round | 29/10/1978 | UD Las Palmas | - | Athletic Club | 1:1 | ||||
| 9. Round | 04/11/1978 | Hércules CF | - | Athletic Club | 0:1 |  |
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| 10. Round | 18/11/1978 | Athletic Club | - | Burgos CF | 1:2 | |
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| 11. Round | 25/11/1978 | Recreativo Huelva | - | Athletic Club | 3:2 | ||||
| 12. Round | 02/12/1978 | Athletic Club | - | RC Celta | 3:1 |  |
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| 13. Round | 16/12/1978 | Sporting Gijón | - | Athletic Club | 4:3 | ||||
| 23. Round | 10/03/1979 | Athletic Club | - | Real Madrid | 3:3 | ||||
| 24. Round | 16/03/1979 | FC Barcelona | - | Athletic Club | 4:3 | ||||
| 25. Round | 25/03/1979 | Athletic Club | - | UD Las Palmas | 3:0 |
Spain