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| 1st(1st leg) | Atalanta | - | Sporting CP | 2:0 (0:0) | ||
| 2nd (2nd leg) | Sporting CP | - | Atalanta | 3:1 (1:1) | ||
| 1st(1st leg): 04/09/1963 | 2nd (2nd leg): 09/10/1963 | Winner: Atalanta | ||||
| 1st(1st leg) | APOEL Nikosia | - | SK Gjøvik-Lyn | 6:0 (1:0) | ||
| 2nd (2nd leg) | SK Gjøvik-Lyn | - | APOEL Nikosia | 0:1 (0:0) | ||
| 1st(1st leg): 08/09/1963 | 2nd (2nd leg): 29/09/1963 | Winner: APOEL Nikosia | ||||
| 1st(1st leg) | Fenerbahçe | - | Petrolul Ploieşti | 4:1 (0:0) | ||
| 2nd (2nd leg) | Petrolul Ploieşti | - | Fenerbahçe | 1:0 (1:0) | ||
| 1st(1st leg): 12/09/1963 | 2nd (2nd leg): 16/10/1963 | Winner: Fenerbahçe | ||||
| 1st(1st leg) | Sliema Wanderers | - | Borough United | 0:0 (0:0) | ||
| 2nd (2nd leg) | Borough United | - | Sliema Wanderers | 2:0 (1:0) | ||
| 1st(1st leg): 15/09/1963 | 2nd (2nd leg): 03/10/1963 | Winner: Borough United | ||||
| 1st(1st leg) | HPS Helsinki | - | TJ Slovan ChZJD Bratislava | 1:4 (0:3) | ||
| 2nd (2nd leg) | TJ Slovan ChZJD Bratislava | - | HPS Helsinki | 8:1 (1:0) | ||
| 1st(1st leg): 15/09/1963 | 2nd (2nd leg): 19/10/1963 | Winner: TJ Slovan ChZJD Bratislava | ||||
| 1st(1st leg) | FC Basel | - | Celtic FC | 1:5 (0:2) | ||
| 2nd (2nd leg) | Celtic FC | - | FC Basel | 5:0 (2:0) | ||
| 1st(1st leg): 17/09/1963 | 2nd (2nd leg): 09/10/1963 | Winner: Celtic FC | ||||
| 1st(1st leg) | Shelbourne FC | - | FC Barcelona | 0:2 (0:1) | ||
| 2nd (2nd leg) | FC Barcelona | - | Shelbourne FC | 3:1 (1:1) | ||
| 1st(1st leg): 24/09/1963 | 2nd (2nd leg): 15/10/1963 | Winner: FC Barcelona | ||||
| 1st(1st leg) | Hamburger SV | - | Union Luxembourg | 4:0 (3:0) | ||
| 2nd (2nd leg) | Union Luxembourg | - | Hamburger SV | 2:3 (0:1) | ||
| 1st(1st leg): 25/09/1963 | 2nd (2nd leg): 02/10/1963 | Winner: Hamburger SV | ||||
| 1st(1st leg) | Olympiakos Piraeus | - | Zagłębie Sosnowiec | 2:1 (0:0) | ||
| 2nd (2nd leg) | Zagłębie Sosnowiec | - | Olympiakos Piraeus | 1:0 (1:0) | ||
| 1st(1st leg): 25/09/1963 | 2nd (2nd leg): 02/10/1963 | Winner: Zagłębie Sosnowiec | ||||
| 1st(1st leg) | Willem II | - | Manchester United | 1:1 (1:1) | ||
| 2nd (2nd leg) | Manchester United | - | Willem II | 6:1 (3:1) | ||
| 1st(1st leg): 25/09/1963 | 2nd (2nd leg): 15/10/1963 | Winner: Manchester United | ||||
| 1st(1st leg) | MTK | - | Slavia Sofia | 1:0 (1:0) | ||
| 2nd (2nd leg) | Slavia Sofia | - | MTK | 1:1 (1:1) | ||
| 1st(1st leg): 02/10/1963 | 2nd (2nd leg): 09/10/1963 | Winner: MTK | ||||
| 1st(1st leg) | Linzer ASK | - | Dinamo Zagreb | 1:0 (1:0) | ||
| 2nd (2nd leg) | Dinamo Zagreb | - | Linzer ASK | 1:0 (0:0) | ||
| 1st(1st leg): 09/10/1963 | 2nd (2nd leg): 16/10/1963 | |||||
| 1st(1st leg) | Olympique Lyon | - | B 1913 Odense | 3:1 (2:1) | ||
| 2nd (2nd leg) | B 1913 Odense | - | Olympique Lyon | 1:3 (1:2) | ||
| 1st(1st leg): 09/10/1963 | 2nd (2nd leg): 16/10/1963 | Winner: Olympique Lyon | ||||
| decisive matches | ||||||
|---|---|---|---|---|---|---|
| Sporting CP | - | Atalanta | 3:1 (1:1, 1:1) aet | |||
| Olympiakos Piraeus | - | Zagłębie Sosnowiec | 2:0 (1:0) | |||
| Linzer ASK | - | Dinamo Zagreb | 1:1 (0:1, 1:1) aet | |||
