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| 1st(1st leg) | FC Barcelona | - | Manchester United | 2:0 (1:0) | ||
| 2nd (2nd leg) | Manchester United | - | FC Barcelona | 3:0 (1:0) | ||
| 1st(1st leg): 07/03/1984 | 2nd (2nd leg): 21/03/1984 | Winner: Manchester United | ||||
| 1st(1st leg) | Újpesti Dózsa SC | - | Aberdeen FC | 2:0 (0:0) | ||
| 2nd (2nd leg) | Aberdeen FC | - | Újpesti Dózsa SC | 3:0 (1:0, 2:0) aet | ||
| 1st(1st leg): 07/03/1984 | 2nd (2nd leg): 21/03/1984 | Winner: Aberdeen FC | ||||
| 1st(1st leg) | Haka Valkeakoski | - | Juventus | 0:1 (0:0) | ||
| 2nd (2nd leg) | Juventus | - | Haka Valkeakoski | 1:0 (1:0) | ||
| 1st(1st leg): 07/03/1984 | 2nd (2nd leg): 21/03/1984 | Winner: Juventus | ||||
| 1st(1st leg) | FC Porto | - | Shakhtyor Donetsk | 3:2 (1:2) | ||
| 2nd (2nd leg) | Shakhtyor Donetsk | - | FC Porto | 1:1 (0:0) | ||
| 1st(1st leg): 07/03/1984 | 2nd (2nd leg): 21/03/1984 | Winner: FC Porto | ||||
