| 1. Round | 14/09/1958 | Atlético Madrid | - | Real Oviedo | 2:0 |  |
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| 2. Round | 21/09/1958 | Valencia CF | - | Atlético Madrid | 4:2 | |
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| 3. Round | 28/09/1958 | Atlético Madrid | - | Real Sociedad | 2:0 | |
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| 4. Round | 05/10/1958 | Granada CF | - | Atlético Madrid | 1:0 | ||||
| 5. Round | 12/10/1958 | Atlético Madrid | - | Sevilla FC | 5:0 | ||||
| 6. Round | 19/10/1958 | Athletic Club | - | Atlético Madrid | 1:2 | ||||
| 7. Round | 26/10/1958 | Atlético Madrid | - | Espanyol Barcelona | 3:2 | ||||
| 8. Round | 02/11/1958 | Real Madrid | - | Atlético Madrid | 5:0 | ||||
| 9. Round | 09/11/1958 | Atlético Madrid | - | Sporting Gijón | 1:1 | ||||
| 10. Round | 16/11/1958 | RC Celta | - | Atlético Madrid | 0:1 |  |
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| 13. Round | 07/12/1958 | Atlético Madrid | - | Real Zaragoza | 7:1 | ||||
| 14. Round | 14/12/1958 | FC Barcelona | - | Atlético Madrid | 5:0 | ||||
| 15. Round | 28/12/1958 | Atlético Madrid | - | UD Las Palmas | 3:1 | |
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| 20. Round | 01/02/1959 | Sevilla FC | - | Atlético Madrid | 3:3 | ||||
| 25. Round | 14/03/1959 | Atlético Madrid | - | RC Celta | 3:1 | ||||
| 26. Round | 22/03/1959 | CA Osasuna | - | Atlético Madrid | 3:1 | |
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| 28. Round | 05/04/1959 | Real Zaragoza | - | Atlético Madrid | 2:1 | ||||
| 29. Round | 12/04/1959 | Atlético Madrid | - | FC Barcelona | 1:1 |
Angola
Portugal