| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 1. R Mateo vs Nunn |
| 0-1 | 39 |
1978 |
Buenos Aires | B53 Sicilian |
| 2. R Mateo vs R Byrne |
| 1-0 | 32 |
1986 |
New York | B93 Sicilian, Najdorf, 6.f4 |
| 3. R Mateo vs K Spraggett |
| ½-½ | 45 |
1986 |
Olympiades de Dubai | B31 Sicilian, Rossolimo Variation |
| 4. R Mateo vs V Lukov |
| 1-0 | 31 |
1986 |
Rio Gallegos | B93 Sicilian, Najdorf, 6.f4 |
| 5. R Mateo vs K Spraggett |
| ½-½ | 45 |
1986 |
Dubai olm | B31 Sicilian, Rossolimo Variation |
| 6. R Mateo vs P Popovic |
| 1-0 | 39 |
1986 |
New York | B93 Sicilian, Najdorf, 6.f4 |
| 7. R Mateo vs Kotronias |
| ½-½ | 26 |
1988 |
Thessaloniki | B48 Sicilian, Taimanov Variation |
| 8. R Mateo vs Aronian |
 | 0-1 | 40 |
2000 |
Ubeda op 5th | B34 Sicilian, Accelerated Fianchetto |
| 9. R Mateo vs R Vazquez |
| 0-1 | 44 |
2001 |
XXXVI Capablanca Mem Premier I | B40 Sicilian |
| 10. R Mateo vs S Garcia-Martinez |
| ½-½ | 21 |
2001 |
IX Guillermo Garcia Mem Alfil | B93 Sicilian, Najdorf, 6.f4 |
| 11. R Mateo vs R Leyva |
| ½-½ | 8 |
2001 |
XXXVI Capablanca Mem Premier I | B62 Sicilian, Richter-Rauzer |
| 12. R Mateo vs P Szekely |
| ½-½ | 17 |
2001 |
XXXVI Capablanca Mem Premier I | B93 Sicilian, Najdorf, 6.f4 |
| 13. R Mateo vs W Elliott |
| 1-0 | 42 |
2002 |
Bled Olympiad | B33 Sicilian |
| 14. R Mateo vs A Simutowe |
| 1-0 | 44 |
2002 |
Bled Olympiad | B95 Sicilian, Najdorf, 6...e6 |
| 15. R Mateo vs A Zapata |
| ½-½ | 44 |
2002 |
Bled Olympiad | B43 Sicilian, Kan, 5.Nc3 |
| 16. R Mateo vs M Russell |
| ½-½ | 54 |
2004 |
36th Olympiad | B30 Sicilian |
| 17. R Mateo vs J V Diaz |
| 0-1 | 67 |
2004 |
Don Benito | B42 Sicilian, Kan |
| 18. R Mateo vs R Nanjo |
| 1-0 | 38 |
2006 |
37th Chess Olympiad | B22 Sicilian, Alapin |
| 19. R Mateo vs P Charbonneau |
 | 1-0 | 37 |
2006 |
37th Chess Olympiad | B70 Sicilian, Dragon Variation |
| 20. R Mateo vs R Kozlov |
| 0-1 | 87 |
2006 |
37th Chess Olympiad | B22 Sicilian, Alapin |
| 21. R Mateo vs L Cyborowski |
| ½-½ | 16 |
2007 |
Cappelle la Grande | B42 Sicilian, Kan |