| 4. Round | 06/10/1957 | UD Las Palmas | - | RC Celta | 1:6 | ||||
| 18. Round | 19/01/1958 | FC Barcelona | - | UD Las Palmas | 2:0 | ||||
| 19. Round | 26/01/1958 | RC Celta | - | UD Las Palmas | 2:2 |  |
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| 20. Round | 02/02/1958 | UD Las Palmas | - | Real Jaén | 2:1 | |
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| 21. Round | 09/02/1958 | UD Las Palmas | - | Atlético Madrid | 3:0 | |
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| 22. Round | 16/02/1958 | Real Madrid | - | UD Las Palmas | 2:1 | ||||
| 23. Round | 23/02/1958 | Real Zaragoza | - | UD Las Palmas | 2:0 | ||||
| 29. Round | 27/04/1958 | Sevilla FC | - | UD Las Palmas | 4:1 | ||||
| 30. Round | 04/05/1958 | UD Las Palmas | - | Real Valladolid | 3:1 | |
Spain