| 1. Round | 14/09/1958 | Atlético Madrid | - | Real Oviedo | 2:0 | ||||
| 2. Round | 21/09/1958 | Real Oviedo | - | UD Las Palmas | 2:1 | ||||
| 3. Round | 28/09/1958 | Real Oviedo | - | Valencia CF | 1:1 | ||||
| 4. Round | 05/10/1958 | Real Sociedad | - | Real Oviedo | 1:1 | ||||
| 5. Round | 12/10/1958 | Real Oviedo | - | Granada CF | 1:0 | ||||
| 6. Round | 19/10/1958 | Sevilla FC | - | Real Oviedo | 4:0 | ||||
| 7. Round | 26/10/1958 | Real Oviedo | - | Athletic Club | 1:2 | ||||
| 8. Round | 02/11/1958 | Espanyol Barcelona | - | Real Oviedo | 2:0 | ||||
| 24. Round | 08/03/1959 | Real Madrid | - | Real Oviedo | 4:0 |
Spain