| 1. Round | 06/09/1975 | Sevilla FC | - | UD Las Palmas | 3:0 | ||||
| 2. Round | 13/09/1975 | UD Las Palmas | - | Real Sociedad | 2:1 | ||||
| 3. Round | 20/09/1975 | Espanyol Barcelona | - | UD Las Palmas | 1:0 | ||||
| 7. Round | 26/10/1975 | Sporting Gijón | - | UD Las Palmas | 3:0 | ||||
| 8. Round | 31/10/1975 | UD Las Palmas | - | Elche CF | 0:0 | ||||
| 10. Round | 22/11/1975 | UD Las Palmas | - | Athletic Club | 2:2 | ||||
| 11. Round | 29/11/1975 | FC Barcelona | - | UD Las Palmas | 3:0 | ||||
| 12. Round | 05/12/1975 | UD Las Palmas | - | Granada CF | 1:2 | ||||
| 14. Round | 19/12/1975 | UD Las Palmas | - | Racing Santander | 5:0 | ||||
| 18. Round | 16/01/1976 | UD Las Palmas | - | Sevilla FC | 0:1 |
Spain