| 5. Round | 11/10/1970 | Real Zaragoza | - | UD Las Palmas | 1:1 | ||||
| 7. Round | 25/10/1970 | CE Sabadell | - | Real Zaragoza | 2:1 | ||||
| 8. Round | 01/11/1970 | Real Zaragoza | - | Elche CF | 1:1 | ||||
| 9. Round | 15/11/1970 | Espanyol Barcelona | - | Real Zaragoza | 0:0 | ||||
| 10. Round | 22/11/1970 | Real Zaragoza | - | Real Madrid | 0:5 | ||||
| 14. Round | 20/12/1970 | Real Zaragoza | - | Real Sociedad | 1:0 | ||||
| 15. Round | 27/12/1970 | Sporting Gijón | - | Real Zaragoza | 1:1 |  |
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| 16. Round | 03/01/1971 | CD Málaga | - | Real Zaragoza | 1:0 | ||||
| 17. Round | 10/01/1971 | Real Zaragoza | - | FC Barcelona | 1:2 | ||||
| 18. Round | 17/01/1971 | Atlético Madrid | - | Real Zaragoza | 3:0 | ||||
| 19. Round | 24/01/1971 | Real Zaragoza | - | Athletic Club | 1:2 | ||||
| 20. Round | 31/01/1971 | UD Las Palmas | - | Real Zaragoza | 4:0 | ||||
| 21. Round | 07/02/1971 | RC Celta | - | Real Zaragoza | 2:0 | ||||
| 24. Round | 07/03/1971 | Real Zaragoza | - | Espanyol Barcelona | 2:2 | ||||
| 27. Round | 28/03/1971 | Sevilla FC | - | Real Zaragoza | 4:2 | |
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| 29. Round | 11/04/1971 | Real Sociedad | - | Real Zaragoza | 2:0 |
Paraguay
Spain