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| H | Real Madrid | - | Athletic Bilbao | 0:1 | ||
| R | Athletic Bilbao | - | Real Madrid | 4:3 i.E. | ||
| H: 04.04.1984 | R: 18.04.1984 | Sieger: Athletic Bilbao | ||||
| H | FC Barcelona | - | UD Las Palmas | 2:1 | ||
| R | UD Las Palmas | - | FC Barcelona | 2:4 i.E. | ||
| H: 04.04.1984 | R: 18.04.1984 | Sieger: FC Barcelona | ||||
