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| 1st(1st leg) | Celtic FC | - | Real Madrid | 2:0 (0:0) | ||
| 2nd (2nd leg) | Real Madrid | - | Celtic FC | 3:0 (1:0) | ||
| 1st(1st leg): 05/03/1980 17:30 | 2nd (2nd leg): 19/03/1980 16:30 | Winner: Real Madrid | ||||
| 1st(1st leg) | Nottingham Forest | - | BFC Dynamo | 0:1 (0:0) | ||
| 2nd (2nd leg) | BFC Dynamo | - | Nottingham Forest | 1:3 (0:3) | ||
| 1st(1st leg): 05/03/1980 18:30 | 2nd (2nd leg): 19/03/1980 17:00 | Winner: Nottingham Forest | ||||
| 1st(1st leg) | Hamburger SV | - | Hajduk Split | 1:0 (1:0) | ||
| 2nd (2nd leg) | Hajduk Split | - | Hamburger SV | 3:2 (1:2) | ||
| 1st(1st leg): 05/03/1980 19:00 | 2nd (2nd leg): 19/03/1980 17:00 | Winner: Hamburger SV | ||||
| 1st(1st leg) | RC Strasbourg | - | AFC Ajax | 0:0 (0:0) | ||
| 2nd (2nd leg) | AFC Ajax | - | RC Strasbourg | 4:0 (2:0) | ||
| 1st(1st leg): 05/03/1980 19:30 | 2nd (2nd leg): 19/03/1980 19:15 | Winner: AFC Ajax | ||||
