| 2. Round | 11/09/1971 | UD Las Palmas | - | Valencia CF | 1:1 | ||||
| 8. Round | 31/10/1971 | UD Las Palmas | - | Córdoba CF | 3:0 | ||||
| 16. Round | 05/01/1972 | RC Celta | - | UD Las Palmas | 2:0 | ||||
| 30. Round | 16/04/1972 | Sporting Gijón | - | UD Las Palmas | 0:1 | ||||
| 31. Round | 22/04/1972 | UD Las Palmas | - | Atlético Madrid | 1:0 | ||||
| 32. Round | 30/04/1972 | Real Betis | - | UD Las Palmas | 2:1 |
Spain