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| H | AS Roma | - | BFC Dynamo | 3:0 (0:0) | ||
| R | BFC Dynamo | - | AS Roma | 2:1 (0:0) | ||
| H: 07.03.1984 15:00 | R: 21.03.1984 20:00 | Sieger: AS Roma | ||||
| H | Rapid Wien | - | Dundee United | 2:1 (0:1) | ||
| R | Dundee United | - | Rapid Wien | 1:0 (1:0) | ||
| H: 07.03.1984 19:00 | R: 21.03.1984 19:30 | Sieger: Dundee United | ||||
| H | Dinamo Minsk | - | Dinamo Bucureşti | 1:1 (1:0) | ||
| R | Dinamo Bucureşti | - | Dinamo Minsk | 1:0 (1:0) | ||
| H: 07.03.1984 19:00 | R: 21.03.1984 15:30 | Sieger: Dinamo Bucureşti | ||||
| H | Liverpool FC | - | SL Benfica | 1:0 (0:0) | ||
| R | SL Benfica | - | Liverpool FC | 1:4 (0:2) | ||
| H: 07.03.1984 20:30 | R: 21.03.1984 21:00 | Sieger: Liverpool FC | ||||
