| 3. Round | 25/09/1960 | Atlético Madrid | - | RCD Mallorca | 2:1 | ||||
| 4. Round | 02/10/1960 | RCD Mallorca | - | Real Sociedad | 0:0 | ||||
| 5. Round | 09/10/1960 | Elche CF | - | RCD Mallorca | 2:0 | ||||
| 6. Round | 16/10/1960 | RCD Mallorca | - | Espanyol Barcelona | 3:0 | ||||
| 10. Round | 20/11/1960 | RCD Mallorca | - | Real Madrid | 1:1 |  |
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| 21. Round | 12/02/1961 | Espanyol Barcelona | - | RCD Mallorca | 1:0 | ||||
| 23. Round | 26/02/1961 | Sevilla FC | - | RCD Mallorca | 0:2 | ||||
| 25. Round | 12/03/1961 | Real Madrid | - | RCD Mallorca | 3:0 | ||||
| 27. Round | 26/03/1961 | Athletic Club | - | RCD Mallorca | 1:2 | ||||
| 28. Round | 09/04/1961 | Real Oviedo | - | RCD Mallorca | 1:0 |
Uruguay