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| 1st(1st leg) | Sporting Gijón | - | Athletic Bilbao | 2:1 | ||
| 2nd (2nd leg) | Athletic Bilbao | - | Sporting Gijón | 2:0 | ||
| 1st(1st leg): 22/02/1984 | 2nd (2nd leg): 14/03/1984 | Winner: Athletic Bilbao | ||||
| 1st(1st leg) | Deportivo La Coruña | - | Real Madrid | 2:1 | ||
| 2nd (2nd leg) | Real Madrid | - | Deportivo La Coruña | 3:0 | ||
| 1st(1st leg): 22/02/1984 | 2nd (2nd leg): 14/03/1984 | Winner: Real Madrid | ||||
| 1st(1st leg) | Castilla CF | - | UD Las Palmas | 2:0 | ||
| 2nd (2nd leg) | UD Las Palmas | - | Castilla CF | 3:0 | ||
| 1st(1st leg): 22/02/1984 | 2nd (2nd leg): 14/03/1984 | Winner: UD Las Palmas | ||||
| 1st(1st leg) | FC Barcelona | - | CA Osasuna | 4:0 | ||
| 2nd (2nd leg) | CA Osasuna | - | FC Barcelona | 3:2 | ||
| 1st(1st leg): 22/02/1984 | 2nd (2nd leg): 14/03/1984 | Winner: FC Barcelona | ||||
