1. Round | 13/09/1959 | UD Las Palmas | - | Atlético Madrid | 0:3 | ||||
2. Round | 20/09/1959 | Real Betis | - | UD Las Palmas | 2:1 | ||||
3. Round | 27/09/1959 | UD Las Palmas | - | Sevilla FC | 2:1 | ||||
7. Round | 25/10/1959 | UD Las Palmas | - | FC Barcelona | 0:8 | ||||
10. Round | 15/11/1959 | UD Las Palmas | - | Athletic Bilbao | 0:2 |