| 1. Round | 02/10/1963 | TJ Spartak ZJŠ Brno | - | Servette FC | 5:0 | ||||
| 1. Round | 16/10/1963 | Servette FC | - | TJ Spartak ZJŠ Brno | 1:2 | ||||
| Round of 16 | 18/11/1963 | Partick Thistle | - | TJ Spartak ZJŠ Brno | 3:2 |  |
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| Round of 16 | 27/11/1963 | TJ Spartak ZJŠ Brno | - | Partick Thistle | 4:0 | |
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| Quarter-finals | 19/02/1964 | RFC Liège | - | TJ Spartak ZJŠ Brno | 2:0 | ||||
| Quarter-finals | 11/03/1964 | TJ Spartak ZJŠ Brno | - | RFC Liège | 2:0 | |
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| Quarter-finals | 25/03/1964 | RFC Liège | - | TJ Spartak ZJŠ Brno | 1:0 |
Czech Republic
CSSR