| 4. Round | 23/09/1983 | Real Sociedad | - | Real Madrid | 1:3 | ||||
| 5. Round | 02/10/1983 | Real Madrid | - | Cádiz CF | 6:2 |  |
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| 6. Round | 09/10/1983 | Real Zaragoza | - | Real Madrid | 3:1 | ||||
| 7. Round | 16/10/1983 | Real Madrid | - | UD Salamanca | 3:0 | ||||
| 8. Round | 22/10/1983 | FC Barcelona | - | Real Madrid | 1:2 |  |
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| 9. Round | 29/10/1983 | Real Madrid | - | Atlético Madrid | 5:0 | ||||
| 10. Round | 04/11/1983 | Sevilla FC | - | Real Madrid | 4:1 | ||||
| 15. Round | 10/12/1983 | Real Madrid | - | Sporting Gijón | 2:1 | |
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| 16. Round | 13/12/1983 | Real Valladolid | - | Real Madrid | 0:2 | ||||
| 19. Round | 14/01/1984 | Real Madrid | - | CD Málaga | 1:0 | ||||
| 20. Round | 21/01/1984 | Valencia CF | - | Real Madrid | 0:0 | ||||
| 28. Round | 17/03/1984 | CA Osasuna | - | Real Madrid | 1:1 | ||||
| 32. Round | 13/04/1984 | Sporting Gijón | - | Real Madrid | 1:2 | |
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| 33. Round | 21/04/1984 | Real Madrid | - | Real Valladolid | 2:1 | ||||
| 34. Round | 28/04/1984 | Espanyol Barcelona | - | Real Madrid | 1:2 |
Spain