| 3. Round | 25/09/1960 | Atlético Madrid | - | RCD Mallorca | 2:1 | ||||
| 5. Round | 09/10/1960 | Elche CF | - | RCD Mallorca | 2:0 | ||||
| 6. Round | 16/10/1960 | RCD Mallorca | - | Espanyol Barcelona | 3:0 | ||||
| 7. Round | 22/10/1960 | Valencia CF | - | RCD Mallorca | 2:1 | ||||
| 8. Round | 06/11/1960 | RCD Mallorca | - | Sevilla FC | 2:2 |  |
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| 9. Round | 13/11/1960 | Granada CF | - | RCD Mallorca | 4:0 | ||||
| 12. Round | 04/12/1960 | RCD Mallorca | - | Athletic Club | 0:0 | ||||
| 13. Round | 11/12/1960 | RCD Mallorca | - | Real Oviedo | 1:0 | ||||
| 14. Round | 18/12/1960 | FC Barcelona | - | RCD Mallorca | 4:2 | ||||
| 24. Round | 05/03/1961 | RCD Mallorca | - | Granada CF | 1:0 |
Hungary