| 1998-02-13 | Davis Cup G1 QF: ARG vs COL | Clay | RR | 112 |  Lucas Arnold Ker | 353 |  Mario Rincon | 6-0 6-2 6-2 | H2H | 5 | - | - | - | - | - | - | - |
| 1997-10-27 | Bogota | Clay | R16 | 83 |  Nicolas Lapentti | 394 | Mario Rincon (WC) | 6-3 6-3 | H2H | 3 | 72 | 2 | 5 | 67.2% | 68.3% | 45.0% | 2/4 |
| 1997-10-27 | Bogota | Clay | R32 | 394 | Mario Rincon (WC) | 47 |  Marcelo Filippini (3) | 6-1 7-6(1) | H2H | 3 | 83 | 7 | 6 | 56.7% | 78.9% | 51.7% | 2/3 |
| 1997-09-19 | Davis Cup G2 F: COL vs URU | Clay | RR | 40 | Marcelo Filippini | 374 | Mario Rincon | 6-2 6-2 | H2H | 3 | - | - | - | - | - | - | - |
| 1997-09-19 | Davis Cup G2 F: COL vs URU | Clay | RR | 374 | Mario Rincon | 311 | Federico Dondo | 5-7 7-6(5) 6-3 6-0 | H2H | 5 | - | - | - | - | - | - | - |
| 1996-09-09 | Bogota | Clay | R32 | 40 |  Javier Sanchez (3) | 239 | Mario Rincon | 6-4 6-3 | H2H | 3 | 76 | 3 | 12 | 60.6% | 75.0% | 30.8% | 4/7 |
| 1996-04-05 | Davis Cup G2 SF: URU vs COL | Clay | RR | 501 | Federico Dondo | 240 | Mario Rincon | 4-6 6-1 6-2 6-3 | H2H | 5 | - | - | - | - | - | - | - |
| 1996-04-05 | Davis Cup G2 SF: URU vs COL | Clay | RR | 105 | Marcelo Filippini | 240 | Mario Rincon | 6-4 6-3 6-1 | H2H | 5 | - | - | - | - | - | - | - |
| 1996-03-04 | Mexico City | Clay | R32 | 86 |  Fernando Meligeni (7) | 251 | Mario Rincon (Q) | 6-4 7-6(5) | H2H | 3 | 96 | 8 | 3 | 56.8% | 71.4% | 50.0% | 7/11 |
| 1995-09-11 | Bogota | Clay | R32 | 236 |  Sergio Cortes (Q) | 305 | Mario Rincon (WC) | 6-3 6-0 | H2H | 3 | 58 | 1 | 1 | 56.1% | 78.3% | 66.7% | 1/1 |
