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| 1st(1st leg) | Lausanne Sports | - | Real Zaragoza | 1:2 (1:2) | ||
| 2nd (2nd leg) | Real Zaragoza | - | Lausanne Sports | 3:0 (2:0) | ||
| 1st(1st leg): 06/11/1963 | 2nd (2nd leg): 20/11/1963 | Winner: Real Zaragoza | ||||
| 1st(1st leg) | 1. FC Köln | - | Sheffield Wednesday | 3:2 (3:0) | ||
| 2nd (2nd leg) | Sheffield Wednesday | - | 1. FC Köln | 1:2 (1:0) | ||
| 1st(1st leg): 06/11/1963 | 2nd (2nd leg): 27/11/1963 | Winner: 1. FC Köln | ||||
| 1st(1st leg) | Rapid Wien | - | Valencia CF | 0:0 (0:0) | ||
| 2nd (2nd leg) | Valencia CF | - | Rapid Wien | 3:2 (1:1) | ||
| 1st(1st leg): 06/11/1963 | 2nd (2nd leg): 27/11/1963 | Winner: Valencia CF | ||||
| 1st(1st leg) | Arsenal FC | - | RFC Liège | 1:1 (0:1) | ||
| 2nd (2nd leg) | RFC Liège | - | Arsenal FC | 3:1 (2:1) | ||
| 1st(1st leg): 13/11/1963 | 2nd (2nd leg): 18/12/1963 | Winner: RFC Liège | ||||
| 1st(1st leg) | Partick Thistle | - | TJ Spartak ZJŠ Brno | 3:2 (2:0) | ||
| 2nd (2nd leg) | TJ Spartak ZJŠ Brno | - | Partick Thistle | 4:0 (3:0) | ||
| 1st(1st leg): 18/11/1963 | 2nd (2nd leg): 27/11/1963 | Winner: TJ Spartak ZJŠ Brno | ||||
| 1st(1st leg) | Újpesti Dózsa SC | - | Lokomotiv Plovdiv | 0:0 (0:0) | ||
| 2nd (2nd leg) | Lokomotiv Plovdiv | - | Újpesti Dózsa SC | 1:3 (0:1) | ||
| 1st(1st leg): 20/11/1963 | 2nd (2nd leg): 27/11/1963 | Winner: Újpesti Dózsa SC | ||||
| 1st(1st leg) | AS Roma | - | Os Belenenses | 2:1 (1:0) | ||
| 2nd (2nd leg) | Os Belenenses | - | AS Roma | 0:1 (0:1) | ||
| 1st(1st leg): 04/12/1963 | 2nd (2nd leg): 11/12/1963 | Winner: AS Roma | ||||
| 1st(1st leg) | Juventus | - | Atlético Madrid | 1:0 (1:0) | ||
| 2nd (2nd leg) | Atlético Madrid | - | Juventus | 1:2 (0:2) | ||
| 1st(1st leg): 04/12/1963 | 2nd (2nd leg): 01/01/1964 | Winner: Juventus | ||||
