1. Round | 13/09/1959 | Real Sociedad | - | Valencia CF | 2:0 | ||||
3. Round | 27/09/1959 | Real Sociedad | - | Real Zaragoza | 1:0 | ||||
5. Round | 11/10/1959 | Real Sociedad | - | Elche CF | 4:2 | ||||
11. Round | 29/11/1959 | Real Sociedad | - | Real Valladolid | 4:2 | ||||
29. Round | 10/04/1960 | Real Madrid | - | Real Sociedad | 4:0 | ||||
30. Round | 17/04/1960 | Real Sociedad | - | Real Betis | 1:0 |