| 2. Round | 09/09/1978 | Sevilla FC | - | Athletic Club | 0:0 | ||||
| 8. Round | 29/10/1978 | UD Las Palmas | - | Athletic Club | 1:1 | ||||
| 9. Round | 04/11/1978 | Hércules CF | - | Athletic Club | 0:1 | ||||
| 10. Round | 18/11/1978 | Athletic Club | - | Burgos CF | 1:2 | ||||
| 11. Round | 25/11/1978 | Recreativo Huelva | - | Athletic Club | 3:2 | ||||
| 30. Round | 06/05/1979 | Athletic Club | - | Sporting Gijón | 1:1 | ||||
| 31. Round | 13/05/1979 | Atlético Madrid | - | Athletic Club | 4:0 |  |
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| 32. Round | 20/05/1979 | Athletic Club | - | Espanyol Barcelona | 1:0 | ||||
| 33. Round | 27/05/1979 | Real Zaragoza | - | Athletic Club | 1:1 | |
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| 34. Round | 03/06/1979 | Athletic Club | - | Real Sociedad | 1:1 |  |
Spain