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| 1st(1st leg) | AS Roma | - | BFC Dynamo | 3:0 (0:0) | ||
| 2nd (2nd leg) | BFC Dynamo | - | AS Roma | 2:1 (0:0) | ||
| 1st(1st leg): 07/03/1984 14:00 | 2nd (2nd leg): 21/03/1984 19:00 | Winner: AS Roma | ||||
| 1st(1st leg) | Rapid Wien | - | Dundee United | 2:1 (0:1) | ||
| 2nd (2nd leg) | Dundee United | - | Rapid Wien | 1:0 (1:0) | ||
| 1st(1st leg): 07/03/1984 18:00 | 2nd (2nd leg): 21/03/1984 18:30 | Winner: Dundee United | ||||
| 1st(1st leg) | Dinamo Minsk | - | Dinamo Bucureşti | 1:1 (1:0) | ||
| 2nd (2nd leg) | Dinamo Bucureşti | - | Dinamo Minsk | 1:0 (1:0) | ||
| 1st(1st leg): 07/03/1984 18:00 | 2nd (2nd leg): 21/03/1984 14:30 | Winner: Dinamo Bucureşti | ||||
| 1st(1st leg) | Liverpool FC | - | SL Benfica | 1:0 (0:0) | ||
| 2nd (2nd leg) | SL Benfica | - | Liverpool FC | 1:4 (0:2) | ||
| 1st(1st leg): 07/03/1984 19:30 | 2nd (2nd leg): 21/03/1984 20:00 | Winner: Liverpool FC | ||||
