| 13. Round | 15/12/1957 | RC Celta | - | Real Madrid | 2:1 |  |
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| 14. Round | 22/12/1957 | Real Sociedad | - | RC Celta | 1:1 | ||||
| 16. Round | 05/01/1958 | RC Celta | - | Athletic Club | 0:1 | ||||
| 19. Round | 26/01/1958 | RC Celta | - | UD Las Palmas | 2:2 | |
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| 22. Round | 16/02/1958 | CA Osasuna | - | RC Celta | 5:1 | ||||
| 24. Round | 09/03/1958 | Sevilla FC | - | RC Celta | 2:0 | ||||
| 26. Round | 30/03/1958 | FC Barcelona | - | RC Celta | 1:0 | ||||
| 29. Round | 27/04/1958 | RC Celta | - | Real Sociedad | 1:0 | ||||
| 30. Round | 04/05/1958 | Sporting Gijón | - | RC Celta | 1:2 | |
Argentina