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| 1st(1st leg) | Real Madrid | - | Athletic Bilbao | 0:1 | ||
| 2nd (2nd leg) | Athletic Bilbao | - | Real Madrid | 4:3 pso | ||
| 1st(1st leg): 04/04/1984 | 2nd (2nd leg): 18/04/1984 | Winner: Athletic Bilbao | ||||
| 1st(1st leg) | FC Barcelona | - | UD Las Palmas | 2:1 | ||
| 2nd (2nd leg) | UD Las Palmas | - | FC Barcelona | 2:4 pso | ||
| 1st(1st leg): 04/04/1984 | 2nd (2nd leg): 18/04/1984 | Winner: FC Barcelona | ||||
