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| 1st(1st leg) | OGC Nice | - | Shamrock Rovers | 3:2 (2:1) | ||
| 2nd (2nd leg) | Shamrock Rovers | - | OGC Nice | 1:1 (1:1) | ||
| 1st(1st leg): 26/08/1959 | 2nd (2nd leg): 23/09/1959 | Winner: OGC Nice | ||||
| 1st(1st leg) | CDNA Sofia | - | FC Barcelona | 2:2 (1:1) | ||
| 2nd (2nd leg) | FC Barcelona | - | CDNA Sofia | 6:2 (4:1) | ||
| 1st(1st leg): 03/09/1959 | 2nd (2nd leg): 23/09/1959 | Winner: FC Barcelona | ||||
| 1st(1st leg) | Wiener Sport-Club | - | Petrolul Ploieşti | 0:0 (0:0) | ||
| 2nd (2nd leg) | Petrolul Ploieşti | - | Wiener Sport-Club | 1:2 (0:2) | ||
| 1st(1st leg): 09/09/1959 | 2nd (2nd leg): 16/09/1959 | Winner: Wiener Sport-Club | ||||
| 1st(1st leg) | Linfield FC | - | IFK Göteborg | 2:1 (2:1) | ||
| 2nd (2nd leg) | IFK Göteborg | - | Linfield FC | 6:1 (2:1) | ||
| 1st(1st leg): 09/09/1959 | 2nd (2nd leg): 23/09/1959 | Winner: IFK Göteborg | ||||
| 1st(1st leg) | Jeunesse Esch | - | ŁKS Łódź | 5:0 (2:0) | ||
| 2nd (2nd leg) | ŁKS Łódź | - | Jeunesse Esch | 2:1 (0:1) | ||
| 1st(1st leg): 09/09/1959 | 2nd (2nd leg): 23/09/1959 | Winner: Jeunesse Esch | ||||
| 1st(1st leg) | DŠO Červená hviezda Bratislava | - | FC Porto | 2:1 (1:1) | ||
| 2nd (2nd leg) | FC Porto | - | DŠO Červená hviezda Bratislava | 0:2 (0:0) | ||
| 1st(1st leg): 11/09/1959 | 2nd (2nd leg): 29/09/1959 | Winner: DŠO Červená hviezda Bratislava | ||||
| 1st(1st leg) | Olympiakos Piraeus | - | AC Milan | 2:2 (2:1) | ||
| 2nd (2nd leg) | AC Milan | - | Olympiakos Piraeus | 3:1 (2:0) | ||
| 1st(1st leg): 13/09/1959 | 2nd (2nd leg): 23/09/1959 | Winner: AC Milan | ||||
| 1st(1st leg) | Fenerbahçe | - | Csepel SC | 1:1 (0:1) | ||
| 2nd (2nd leg) | Csepel SC | - | Fenerbahçe | 2:3 (2:1) | ||
| 1st(1st leg): 13/09/1959 | 2nd (2nd leg): 23/09/1959 | Winner: Fenerbahçe | ||||
| 1st(1st leg) | Rangers FC | - | RSC Anderlecht | 5:2 (2:0) | ||
| 2nd (2nd leg) | RSC Anderlecht | - | Rangers FC | 0:2 (0:0) | ||
| 1st(1st leg): 16/09/1959 | 2nd (2nd leg): 23/09/1959 | Winner: Rangers FC | ||||
| 1st(1st leg) | ASK Vorwärts Berlin | - | Wolverhampton Wanderers | 2:1 (2:1) | ||
| 2nd (2nd leg) | Wolverhampton Wanderers | - | ASK Vorwärts Berlin | 2:0 (0:0) | ||
| 1st(1st leg): 30/09/1959 | 2nd (2nd leg): 07/10/1959 | Winner: Wolverhampton Wanderers | ||||
