| 17. Round | 12/01/1958 | Real Valladolid | - | RC Celta | 0:4 | ||||
| 18. Round | 19/01/1958 | RC Celta | - | Espanyol Barcelona | 3:2 | ||||
| 19. Round | 26/01/1958 | RC Celta | - | UD Las Palmas | 2:2 | ||||
| 29. Round | 27/04/1958 | RC Celta | - | Real Sociedad | 1:0 | ||||
| 30. Round | 04/05/1958 | Sporting Gijón | - | RC Celta | 1:2 |
Spain