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| 1st(1st leg) | Dinamo Moskva | - | FC Nantes | 0:2 (0:0) | ||
| 2nd (2nd leg) | FC Nantes | - | Dinamo Moskva | 2:3 (1:2) | ||
| 1st(1st leg): 05/03/1980 | 2nd (2nd leg): 19/03/1980 | Winner: FC Nantes | ||||
| 1st(1st leg) | HNK Rijeka | - | Juventus | 0:0 (0:0) | ||
| 2nd (2nd leg) | Juventus | - | HNK Rijeka | 2:0 (1:0) | ||
| 1st(1st leg): 05/03/1980 | 2nd (2nd leg): 19/03/1980 | Winner: Juventus | ||||
| 1st(1st leg) | FC Barcelona | - | Valencia CF | 0:1 (0:0) | ||
| 2nd (2nd leg) | Valencia CF | - | FC Barcelona | 4:3 (2:2) | ||
| 1st(1st leg): 05/03/1980 | 2nd (2nd leg): 19/03/1980 | Winner: Valencia CF | ||||
| 1st(1st leg) | Arsenal FC | - | IFK Göteborg | 5:1 (3:1) | ||
| 2nd (2nd leg) | IFK Göteborg | - | Arsenal FC | 0:0 (0:0) | ||
| 1st(1st leg): 05/03/1980 | 2nd (2nd leg): 19/03/1980 | Winner: Arsenal FC | ||||
