| 10. Round | 16/11/1958 | RC Celta | - | Atlético Madrid | 0:1 | ||||
| 11. Round | 23/11/1958 | Atlético Madrid | - | CA Osasuna | 2:0 | ||||
| 12. Round | 30/11/1958 | Real Betis | - | Atlético Madrid | 3:2 | ||||
| 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 | ||||
| 16. Round | 04/01/1959 | Real Oviedo | - | Atlético Madrid | 2:1 | ||||
| 17. Round | 11/01/1959 | Atlético Madrid | - | Valencia CF | 1:2 | ||||
| 18. Round | 18/01/1959 | Real Sociedad | - | Atlético Madrid | 0:0 | ||||
| 19. Round | 25/01/1959 | Atlético Madrid | - | Granada CF | 4:0 | ||||
| 20. Round | 01/02/1959 | Sevilla FC | - | Atlético Madrid | 3:3 | ||||
| 21. Round | 08/02/1959 | Atlético Madrid | - | Athletic Club | 0:1 | ||||
| 22. Round | 15/02/1959 | Espanyol Barcelona | - | Atlético Madrid | 2:2 | ||||
| 23. Round | 22/02/1959 | Atlético Madrid | - | Real Madrid | 2:1 | ||||
| 24. Round | 08/03/1959 | Sporting Gijón | - | Atlético Madrid | 3:2 | ||||
| 29. Round | 12/04/1959 | Atlético Madrid | - | FC Barcelona | 1:1 |
Spain