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| 1st(1st leg) | Sliema Wanderers | - | Boavista | 2:1 (1:0) | ||
| 2nd (2nd leg) | Boavista | - | Sliema Wanderers | 8:0 (4:0) | ||
| 1st(1st leg): 12/09/1979 | 2nd (2nd leg): 05/10/1979 | Winner: Boavista | ||||
| 1st(1st leg) | Juventus | - | Raba ETO Győr | 2:0 (0:0) | ||
| 2nd (2nd leg) | Raba ETO Győr | - | Juventus | 2:1 (2:0) | ||
| 1st(1st leg): 19/09/1979 | 2nd (2nd leg): 03/10/1979 | Winner: Juventus | ||||
| 1st(1st leg) | Arka Gdynia | - | PFC Beroe | 3:2 (1:1) | ||
| 2nd (2nd leg) | PFC Beroe | - | Arka Gdynia | 2:0 (2:0) | ||
| 1st(1st leg): 19/09/1979 | 2nd (2nd leg): 03/10/1979 | Winner: PFC Beroe | ||||
| 1st(1st leg) | Rangers FC | - | Fortuna Düsseldorf | 2:1 (0:0) | ||
| 2nd (2nd leg) | Fortuna Düsseldorf | - | Rangers FC | 0:0 (0:0) | ||
| 1st(1st leg): 19/09/1979 | 2nd (2nd leg): 03/10/1979 | Winner: Rangers FC | ||||
| 1st(1st leg) | BSC Young Boys | - | CSA Steaua București | 2:2 (1:2) | ||
| 2nd (2nd leg) | CSA Steaua București | - | BSC Young Boys | 6:0 (2:0) | ||
| 1st(1st leg): 19/09/1979 | 2nd (2nd leg): 03/10/1979 | Winner: CSA Steaua București | ||||
| 1st(1st leg) | Panionios GSS | - | FC Twente '65 | 4:0 (1:0) | ||
| 2nd (2nd leg) | FC Twente '65 | - | Panionios GSS | 3:1 (2:0) | ||
| 1st(1st leg): 19/09/1979 | 2nd (2nd leg): 03/10/1979 | Winner: Panionios GSS | ||||
| 1st(1st leg) | Wrexham AFC | - | 1. FC Magdeburg | 3:2 (1:2) | ||
| 2nd (2nd leg) | 1. FC Magdeburg | - | Wrexham AFC | 5:2 (1:2, 3:2) aet | ||
| 1st(1st leg): 19/09/1979 | 2nd (2nd leg): 03/10/1979 | Winner: 1. FC Magdeburg | ||||
| 1st(1st leg) | FC Reipas Lahti (old) | - | Aris Bonnevoie | 0:1 (0:0) | ||
| 2nd (2nd leg) | Aris Bonnevoie | - | FC Reipas Lahti (old) | 1:0 (1:0) | ||
| 1st(1st leg): 19/09/1979 | 2nd (2nd leg): 03/10/1979 | Winner: Aris Bonnevoie | ||||
| 1st(1st leg) | SSW Innsbruck | - | TJ Lokomotíva Košice | 1:2 (1:1) | ||
| 2nd (2nd leg) | TJ Lokomotíva Košice | - | SSW Innsbruck | 1:0 (1:0) | ||
| 1st(1st leg): 19/09/1979 | 2nd (2nd leg): 03/10/1979 | Winner: TJ Lokomotíva Košice | ||||
| 1st(1st leg) | K. Beerschot VAV | - | HNK Rijeka | 0:0 (0:0) | ||
| 2nd (2nd leg) | HNK Rijeka | - | K. Beerschot VAV | 2:1 (1:1) | ||
| 1st(1st leg): 19/09/1979 | 2nd (2nd leg): 03/10/1979 | Winner: HNK Rijeka | ||||
| 1st(1st leg) | B 1903 København | - | Valencia CF | 2:2 (1:2) | ||
| 2nd (2nd leg) | Valencia CF | - | B 1903 København | 4:0 (1:0) | ||
| 1st(1st leg): 19/09/1979 | 2nd (2nd leg): 03/10/1979 | Winner: Valencia CF | ||||
| 1st(1st leg) | Arsenal FC | - | Fenerbahçe | 2:0 (1:0) | ||
| 2nd (2nd leg) | Fenerbahçe | - | Arsenal FC | 0:0 (0:0) | ||
| 1st(1st leg): 19/09/1979 | 2nd (2nd leg): 03/10/1979 | Winner: Arsenal FC | ||||
| 1st(1st leg) | IFK Göteborg | - | Waterford AFC | 1:0 (0:0) | ||
| 2nd (2nd leg) | Waterford AFC | - | IFK Göteborg | 1:1 (0:1) | ||
| 1st(1st leg): 19/09/1979 | 2nd (2nd leg): 03/10/1979 | Winner: IFK Göteborg | ||||
| 1st(1st leg) | Cliftonville FC | - | FC Nantes | 0:1 (0:1) | ||
| 2nd (2nd leg) | FC Nantes | - | Cliftonville FC | 7:0 (4:0) | ||
| 1st(1st leg): 20/09/1979 | 2nd (2nd leg): 03/10/1979 | Winner: FC Nantes | ||||
| 1st(1st leg) | ÍA Akranes | - | FC Barcelona | 0:1 (0:0) | ||
| 2nd (2nd leg) | FC Barcelona | - | ÍA Akranes | 5:0 (2:0) | ||
| 1st(1st leg): 26/09/1979 | 2nd (2nd leg): 03/10/1979 | Winner: FC Barcelona | ||||
