| 1. Round | 15/09/1963 | Real Murcia | - | Atlético Madrid | 2:1 |  |
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| 2. Round | 22/09/1963 | Real Zaragoza | - | Real Murcia | 3:2 | |
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| 3. Round | 29/09/1963 | Real Murcia | - | FC Barcelona | 1:5 | ||||
| 5. Round | 13/10/1963 | Real Murcia | - | Levante UD | 1:0 | ||||
| 7. Round | 03/11/1963 | Real Murcia | - | Athletic Club | 2:0 | ||||
| 22. Round | 23/02/1964 | Athletic Club | - | Real Murcia | 1:1 |
Spain