| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 26. J Cuartas vs V Nevednichy |
| 0-1 | 63 |
2002 |
Bled Olympiad | B06 Robatsch |
| 27. E Cordova vs J Cuartas |
| ½-½ | 57 |
2004 |
36th Olympiad | A43 Old Benoni |
| 28. S Sulskis vs J Cuartas |
| ½-½ | 90 |
2004 |
36th Olympiad | B10 Caro-Kann |
| 29. C Davila vs J Cuartas |
| ½-½ | 62 |
2004 |
36th Olympiad | B13 Caro-Kann, Exchange |
| 30. J Cuartas vs G Soppe |
| ½-½ | 36 |
2004 |
36th Olympiad | B04 Alekhine's Defense, Modern |
| 31. J Cuartas vs D Erhembayar |
| ½-½ | 86 |
2004 |
36th Olympiad | B22 Sicilian, Alapin |
| 32. B Miller vs J Cuartas |
| 0-1 | 22 |
2004 |
36th Olympiad | B12 Caro-Kann Defense |
| 33. A Fernandes vs J Cuartas |
| 1-0 | 40 |
2004 |
36th Olympiad | B17 Caro-Kann, Steinitz Variation |
| 34. E Nolsoe vs J Cuartas |
| 1-0 | 39 |
2004 |
36th Olympiad | B13 Caro-Kann, Exchange |
| 35. J Gonzales vs J Cuartas |
| ½-½ | 41 |
2004 |
36th Olympiad | A09 Reti Opening |
| 36. K Amir vs J Cuartas |
| 0-1 | 47 |
2004 |
36th Olympiad | A11 English, Caro-Kann Defensive System |
| 37. J Cuartas vs T Hillarp Persson |
| 0-1 | 68 |
2004 |
36th Olympiad | B06 Robatsch |
| 38. Tiviakov vs J Cuartas |
| 1-0 | 67 |
2005 |
Magistral Huila 100 aņos - Neiva | B17 Caro-Kann, Steinitz Variation |
| 39. J Cuartas vs Granda-Zuniga |
| ½-½ | 47 |
2005 |
Magistral Huila 100 aņos - Neiva | B51 Sicilian, Canal-Sokolsky (Rossolimo) Attack |
| 40. J Cuartas vs O Korneev |
| ½-½ | 24 |
2005 |
Magistral Huila 100 aņos - Neiva | C80 Ruy Lopez, Open |
| 41. V Dobrov vs J Cuartas |
| ½-½ | 26 |
2005 |
Magistral Huila 100 aņos - Neiva | D90 Grunfeld |
| 42. Jobava vs J Cuartas |
| ½-½ | 66 |
2006 |
37th Chess Olympiad | D90 Grunfeld |
| 43. J Cuartas vs J Isaev |
| 0-1 | 45 |
2006 |
37th Chess Olympiad | C88 Ruy Lopez |
| 44. Cr Cruz vs J Cuartas |
| 0-1 | 20 |
2006 |
XXIX Open Barbera del Valles | D43 Queen's Gambit Declined Semi-Slav |
| 45. P Charbonneau vs J Cuartas |
| 0-1 | 56 |
2006 |
37th Chess Olympiad | B32 Sicilian |
| 46. H Teske vs J Cuartas |
| 1-0 | 28 |
2006 |
XXIX Open Barbera del Valles | B17 Caro-Kann, Steinitz Variation |
| 47. J Cuartas vs Leitao |
| ½-½ | 41 |
2006 |
VIII Sants Open | B80 Sicilian, Scheveningen |
| 48. J Cuartas vs R Zelcic |
| 1-0 | 39 |
2006 |
37th Chess Olympiad | B19 Caro-Kann, Classical |
| 49. J Cuartas vs R Kozlov |
| ½-½ | 53 |
2006 |
37th Chess Olympiad | B31 Sicilian, Rossolimo Variation |
| 50. J Berrocal vs J Cuartas |
| 1-0 | 55 |
2006 |
XXIX Open Barbera del Valles | B32 Sicilian |