| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 1. J Cuartas vs L Bruzon |
| ½-½ | 50 |
2001 |
I American Continental | B47 Sicilian, Taimanov (Bastrikov) Variation |
| 2. J Cuartas vs J M Bellon Lopez |
| ½-½ | 61 |
2001 |
IX Guillermo Garcia Mem | B40 Sicilian |
| 3. J Cuartas vs V Sanchez |
| 1-0 | 38 |
2001 |
I American Continental | B42 Sicilian, Kan |
| 4. J Cuartas vs R Vera |
| 0-1 | 24 |
2001 |
IX Guillermo Garcia Mem | B51 Sicilian, Canal-Sokolsky (Rossolimo) Attack |
| 5. J Cuartas vs Diaz Cordoba |
| 1-0 | 38 |
2001 |
I American Continental | B44 Sicilian |
| 6. J Cuartas vs R Vazquez |
| 0-1 | 44 |
2001 |
IX Guillermo Garcia Mem | B67 Sicilian, Richter-Rauzer Attack, 7...a6 Defense, 8...Bd7 |
| 7. J Cuartas vs Yermolinsky |
| 0-1 | 57 |
2001 |
I American Continental | B51 Sicilian, Canal-Sokolsky (Rossolimo) Attack |
| 8. J Cuartas vs Gulko |
| ½-½ | 49 |
2002 |
Bled Olympiad | B30 Sicilian |
| 9. J Cuartas vs K Bjerring |
| 1-0 | 37 |
2002 |
Bled Olympiad | B40 Sicilian |
| 10. J Cuartas vs A Kovacevic |
| 0-1 | 34 |
2002 |
Bled Olympiad | B51 Sicilian, Canal-Sokolsky (Rossolimo) Attack |
| 11. J Cuartas vs D Erhembayar |
| ½-½ | 86 |
2004 |
36th Olympiad | B22 Sicilian, Alapin |
| 12. J Cuartas vs Granda-Zuniga |
| ½-½ | 47 |
2005 |
Magistral Huila 100 aņos - Neiva | B51 Sicilian, Canal-Sokolsky (Rossolimo) Attack |
| 13. J Cuartas vs V Bach |
 | ½-½ | 39 |
2006 |
XXIX Open Barbera del Valles | B42 Sicilian, Kan |
| 14. J Cuartas vs M Paragua |
| ½-½ | 52 |
2006 |
37th Chess Olympiad | B51 Sicilian, Canal-Sokolsky (Rossolimo) Attack |
| 15. J Cuartas vs L Rofes |
| 1-0 | 35 |
2006 |
XXIX Open Barbera del Valles | B67 Sicilian, Richter-Rauzer Attack, 7...a6 Defense, 8...Bd7 |
| 16. J Cuartas vs A Pascual Sauch |
| 1-0 | 32 |
2006 |
XXIX Open Barbera del Valles | B31 Sicilian, Rossolimo Variation |
| 17. J Cuartas vs Leitao |
| ½-½ | 41 |
2006 |
VIII Sants Open | B80 Sicilian, Scheveningen |
| 18. J Cuartas vs R Kozlov |
| ½-½ | 53 |
2006 |
37th Chess Olympiad | B31 Sicilian, Rossolimo Variation |
| 19. J Cuartas vs R Felgaer |
| ½-½ | 31 |
2006 |
VIII Sants Open | B22 Sicilian, Alapin |
| 20. J Cuartas vs M Mahjoob |
| ½-½ | 9 |
2006 |
37th Chess Olympiad | B42 Sicilian, Kan |