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| H | Celtic FC | - | Real Madrid | 2:0 (0:0) | ||
| R | Real Madrid | - | Celtic FC | 3:0 (1:0) | ||
| H: 05.03.1980 18:30 | R: 19.03.1980 17:30 | Sieger: Real Madrid | ||||
| H | Nottingham Forest | - | BFC Dynamo | 0:1 (0:0) | ||
| R | BFC Dynamo | - | Nottingham Forest | 1:3 (0:3) | ||
| H: 05.03.1980 19:30 | R: 19.03.1980 18:00 | Sieger: Nottingham Forest | ||||
| H | Hamburger SV | - | Hajduk Split | 1:0 (1:0) | ||
| R | Hajduk Split | - | Hamburger SV | 3:2 (1:2) | ||
| H: 05.03.1980 20:00 | R: 19.03.1980 18:00 | Sieger: Hamburger SV | ||||
| H | RC Strasbourg | - | AFC Ajax | 0:0 (0:0) | ||
| R | AFC Ajax | - | RC Strasbourg | 4:0 (2:0) | ||
| H: 05.03.1980 20:30 | R: 19.03.1980 20:15 | Sieger: AFC Ajax | ||||
