| 4. Round | 27/09/1980 | UD Salamanca | - | Sporting Gijón | 2:2 | ||||
| 5. Round | 05/10/1980 | Valencia CF | - | UD Salamanca | 3:0 | ||||
| 6. Round | 12/10/1980 | UD Salamanca | - | CA Osasuna | 1:2 | ||||
| 9. Round | 01/11/1980 | Real Betis | - | UD Salamanca | 5:0 | ||||
| 10. Round | 08/11/1980 | UD Salamanca | - | Hércules CF | 0:1 | ||||
| 11. Round | 15/11/1980 | FC Barcelona | - | UD Salamanca | 3:0 | ||||
| 12. Round | 22/11/1980 | UD Salamanca | - | Atlético Madrid | 1:1 |  |
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| 13. Round | 29/11/1980 | UD Salamanca | - | Real Zaragoza | 3:1 | ||||
| 14. Round | 06/12/1980 | Real Madrid | - | UD Salamanca | 2:0 | ||||
| 15. Round | 13/12/1980 | UD Salamanca | - | Real Valladolid | 2:1 | ||||
| 16. Round | 20/12/1980 | AD Almería | - | UD Salamanca | 3:2 | ||||
| 17. Round | 27/12/1980 | UD Salamanca | - | Athletic Club | 3:2 | |
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| 18. Round | 03/01/1981 | UD Salamanca | - | Sevilla FC | 0:0 | ||||
| 19. Round | 10/01/1981 | Real Murcia | - | UD Salamanca | 1:1 | ||||
| 20. Round | 17/01/1981 | UD Salamanca | - | Espanyol Barcelona | 3:2 | |
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| 22. Round | 31/01/1981 | UD Salamanca | - | Valencia CF | 0:1 |  |
Paraguay