| Game |
| Result | Moves |
Year | Event/Locale | Opening |
| 1. R Mateo vs Nunn |
| 0-1 | 39 | 1978 | Olympiad | B53 Sicilian |
| 2. R Mateo vs de Firmian |
| 0-1 | 42 | 1980 | Chess Olympiad | A14 English |
| 3. T I Shaw vs R Mateo |
| 1-0 | 21 | 1980 | Chess Olympiad | B16 Caro-Kann, Bronstein-Larsen Variation |
| 4. R Mateo vs W Wittmann |
| ½-½ | 50 | 1980 | Chess Olympiad | A37 English, Symmetrical |
| 5. R Mateo vs T Caiafas |
| 0-1 | 42 | 1982 | Chess Olympiad | E62 King's Indian, Fianchetto |
| 6. Suttles vs R Mateo |
| 1-0 | 36 | 1982 | Chess Olympiad | A07 King's Indian Attack |
| 7. R Mateo vs R Nokes |
| 1-0 | 26 | 1982 | Chess Olympiad | C00 French Defense |
| 8. R Mateo vs F Braga |
| 1-0 | 42 | 1984 | Bayamo | D34 Queen's Gambit Declined, Tarrasch |
| 9. R Mateo vs H Chin Alein |
| 1-0 | 31 | 1984 | Thessaloniki Olympiad | C43 Petrov, Modern Attack |
| 10. P Nikolic vs R Mateo |
| 1-0 | 37 | 1984 | Thessaloniki Olympiad | E15 Queen's Indian |
| 11. R Mateo vs Quinteros |
| ½-½ | 54 | 1984 | Thessaloniki Olympiad | B81 Sicilian, Scheveningen, Keres Attack |
| 12. H Westerinen vs R Mateo |
| 1-0 | 38 | 1984 | Thessaloniki Olympiad | B12 Caro-Kann Defense |
| 13. R Mateo vs C Cuartas Bedoya |
 | 0-1 | 43 | 1984 | Thessaloniki Olympiad | A53 Old Indian |
| 14. R W Smith vs R Mateo |
| 1-0 | 40 | 1984 | Thessaloniki Olympiad | B24 Sicilian, Closed |
| 15. R Mateo vs P Popovic |
| 1-0 | 39 | 1986 | New York Open | B93 Sicilian, Najdorf, 6.f4 |
| 16. R Mateo vs Robert E Byrne |
| 1-0 | 32 | 1986 | New York Open | B93 Sicilian, Najdorf, 6.f4 |
| 17. R Mateo vs V Lukov |
| 1-0 | 31 | 1986 | Rio Gallegos fin-A | B93 Sicilian, Najdorf, 6.f4 |
| 18. Lombardy vs R Mateo |
| 1-0 | 25 | 1986 | New York Open (USA) | B63 Sicilian, Richter-Rauzer Attack |
| 19. Smejkal vs R Mateo |
| 1-0 | 52 | 1986 | Chess Olympiad | A15 English |
| 20. Anand vs R Mateo |
| 1-0 | 35 | 1986 | Chess Olympiad | B63 Sicilian, Richter-Rauzer Attack |
| 21. R Mateo vs Xu Jun |
| 0-1 | 71 | 1986 | Chess Olympiad | C80 Ruy Lopez, Open |
| 22. R Mateo vs K Spraggett |
| ½-½ | 45 | 1986 | Chess Olympiad | B31 Sicilian, Rossolimo Variation |
| 23. T Palmer vs R Mateo |
 | 0-1 | 31 | 1986 | Pan-Am Intercollegiate Team Championship | B23 Sicilian, Closed |
| 24. R Mateo vs Kotronias |
| ½-½ | 26 | 1988 | Chess Olympiad | B48 Sicilian, Taimanov Variation |
| 25. R Mateo vs Korchnoi |
| 0-1 | 36 | 1988 | Chess Olympiad | C14 French, Classical |
Kibitzing
