| 1. Runde | 16.09.1963 | Glentoran FC | - | Partick Thistle | 1:4 |  |
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| 1. Runde | 30.09.1963 | Partick Thistle | - | Glentoran FC | 3:0 | ||||
| Achtelfinale | 18.11.1963 | Partick Thistle | - | TJ Spartak ZJŠ Brno | 3:2 | ||||
| Achtelfinale | 27.11.1963 | TJ Spartak ZJŠ Brno | - | Partick Thistle | 4:0 |
Schottland