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| 1st(1st leg) | SC Leipzig | - | Újpesti Dózsa SC | 0:0 (0:0) | ||
| 2nd (2nd leg) | Újpesti Dózsa SC | - | SC Leipzig | 3:2 (1:0) | ||
| 1st(1st leg): 04/09/1963 | 2nd (2nd leg): 11/09/1963 | Winner: Újpesti Dózsa SC | ||||
| 1st(1st leg) | Aris Bonnevoie | - | RFC Liège | 0:2 (0:0) | ||
| 2nd (2nd leg) | RFC Liège | - | Aris Bonnevoie | 0:0 (0:0) | ||
| 1st(1st leg): 04/09/1963 | 2nd (2nd leg): 02/10/1963 | Winner: RFC Liège | ||||
| 1st(1st leg) | 1. FC Köln | - | KAA Gent | 3:1 (1:0) | ||
| 2nd (2nd leg) | KAA Gent | - | 1. FC Köln | 1:1 (0:0) | ||
| 1st(1st leg): 04/09/1963 | 2nd (2nd leg): 16/10/1963 | Winner: 1. FC Köln | ||||
| 1st(1st leg) | Iraklis Saloniki | - | Real Zaragoza | 0:3 (0:1) | ||
| 2nd (2nd leg) | Real Zaragoza | - | Iraklis Saloniki | 6:1 (2:0) | ||
| 1st(1st leg): 08/09/1963 | 2nd (2nd leg): 09/10/1963 | Winner: Real Zaragoza | ||||
| 1st(1st leg) | Rapid Wien | - | Racing Club de France | 1:0 (0:0) | ||
| 2nd (2nd leg) | Racing Club de France | - | Rapid Wien | 2:3 (1:2) | ||
| 1st(1st leg): 11/09/1963 | 2nd (2nd leg): 02/10/1963 | Winner: Rapid Wien | ||||
| 1st(1st leg) | Glentoran FC | - | Partick Thistle | 1:4 (1:1) | ||
| 2nd (2nd leg) | Partick Thistle | - | Glentoran FC | 3:0 (0:0) | ||
| 1st(1st leg): 16/09/1963 | 2nd (2nd leg): 30/09/1963 | Winner: Partick Thistle | ||||
| 1st(1st leg) | Shamrock Rovers | - | Valencia CF | 0:1 (0:0) | ||
| 2nd (2nd leg) | Valencia CF | - | Shamrock Rovers | 2:2 (0:1) | ||
| 1st(1st leg): 18/09/1963 | 2nd (2nd leg): 10/10/1963 | Winner: Valencia CF | ||||
| 1st(1st leg) | Steagul Roșu Brașov | - | Lokomotiv Plovdiv | 1:3 (1:3) | ||
| 2nd (2nd leg) | Lokomotiv Plovdiv | - | Steagul Roșu Brașov | 2:1 (2:0) | ||
| 1st(1st leg): 19/09/1963 | 2nd (2nd leg): 09/10/1963 | Winner: Lokomotiv Plovdiv | ||||
| 1st(1st leg) | NK Trešnjevka | - | Os Belenenses | 0:2 (0:2) | ||
| 2nd (2nd leg) | Os Belenenses | - | NK Trešnjevka | 2:1 (1:1) | ||
| 1st(1st leg): 25/09/1963 | 2nd (2nd leg): 09/10/1963 | Winner: Os Belenenses | ||||
| 1st(1st leg) | Lausanne Sports | - | Heart of Midlothian | 2:2 (0:1) | ||
| 2nd (2nd leg) | Heart of Midlothian | - | Lausanne Sports | 2:2 (1:0) | ||
| 1st(1st leg): 25/09/1963 | 2nd (2nd leg): 09/10/1963 | |||||
| 1st(1st leg) | DOS Utrecht | - | Sheffield Wednesday | 1:4 (0:2) | ||
| 2nd (2nd leg) | Sheffield Wednesday | - | DOS Utrecht | 4:1 (2:0) | ||
| 1st(1st leg): 25/09/1963 | 2nd (2nd leg): 15/10/1963 | Winner: Sheffield Wednesday | ||||
| 1st(1st leg) | Stævnet København | - | Arsenal FC | 1:7 (0:5) | ||
| 2nd (2nd leg) | Arsenal FC | - | Stævnet København | 2:3 (1:1) | ||
| 1st(1st leg): 25/09/1963 | 2nd (2nd leg): 22/10/1963 | Winner: Arsenal FC | ||||
| 1st(1st leg) | Atlético Madrid | - | FC Porto | 2:1 (2:1) | ||
| 2nd (2nd leg) | FC Porto | - | Atlético Madrid | 0:0 (0:0) | ||
| 1st(1st leg): 02/10/1963 | 2nd (2nd leg): 09/10/1963 | Winner: Atlético Madrid | ||||
| 1st(1st leg) | TJ Spartak ZJŠ Brno | - | Servette FC | 5:0 (3:0) | ||
| 2nd (2nd leg) | Servette FC | - | TJ Spartak ZJŠ Brno | 1:2 (1:1) | ||
| 1st(1st leg): 02/10/1963 | 2nd (2nd leg): 16/10/1963 | Winner: TJ Spartak ZJŠ Brno | ||||
| 1st(1st leg) | Juventus | - | OFK Beograd | 2:1 (1:1) | ||
| 2nd (2nd leg) | OFK Beograd | - | Juventus | 2:1 (1:1) | ||
| 1st(1st leg): 02/10/1963 | 2nd (2nd leg): 16/10/1963 | |||||
| 1st(1st leg) | Hertha BSC | - | AS Roma | 1:3 (1:1) | ||
| 2nd (2nd leg) | AS Roma | - | Hertha BSC | 2:0 (1:0) | ||
| 1st(1st leg): 16/10/1963 | 2nd (2nd leg): 30/10/1963 | Winner: AS Roma | ||||
| decisive matches | ||||||
|---|---|---|---|---|---|---|
| Lausanne Sports | - | Heart of Midlothian | 3:2 (2:1, 2:2) aet | |||
| Juventus | - | OFK Beograd | 1:0 (0:0) | |||
