| 6. Round | 21/10/1979 | Atlético Madrid | - | Espanyol Barcelona | 1:1 | ||||
| 7. Round | 28/10/1979 | Atlético Madrid | - | UD Las Palmas | 0:0 | ||||
| 11. Round | 24/11/1979 | Atlético Madrid | - | FC Barcelona | 2:1 | ||||
| 12. Round | 01/12/1979 | AD Almería | - | Atlético Madrid | 2:1 | ||||
| 18. Round | 26/01/1980 | Atlético Madrid | - | Hércules CF | 2:1 | ||||
| 19. Round | 02/02/1980 | Sporting Gijón | - | Atlético Madrid | 0:0 | ||||
| 22. Round | 23/02/1980 | Atlético Madrid | - | Sevilla FC | 3:2 |  |
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| 23. Round | 01/03/1980 | Espanyol Barcelona | - | Atlético Madrid | 0:1 | ||||
| 34. Round | 17/05/1980 | Real Sociedad | - | Atlético Madrid | 2:0 |
Spain