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| Acapulco Tier III Clay | Mar 4 2001 |
| Qual 1 | Rosa Maria Andres Rodriguez - Rivero-WC | 6-0 6-3 |
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| Saltillo $10,000 | Mar 11 2001 |
| Qual 2 | Rivero(2) - Malvina de la Canal | 6-2 6-0 |
| Qual 3 | Rivero(2) - Marion Walter(15) | 7-67 6-2 |
| 1 | Rivero-Q - Stephanie Schaer | 6-4 6-4 |
| 2 | Marina Petrovic - Rivero-Q | 6-3 6-2 |
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| Monterrey $10,000 | Mar 18 2001 |
| 1 | Daniela Olivera(2) - Rivero-WC | 6-1 6-2 |
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| Matamoros $10,000 | Mar 25 2001 |
| 1 | Conchita Martinez-Granados(3) - Rivero | 6-4 6-0 |
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| CD Victoria $10,000 | Apr 1 2001 |
| 1 | Marina Petrovic - Rivero | 6-3 7-5 |
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| CD Juarez $25,000 | Apr 8 2001 |
| Qual 1 | Dominika Luzarova - Rivero | 6-3 4-6 6-3 |
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| San Luis Potosi $25,000 | Apr 15 2001 |
| 1 | Rivero-WC - Veronika Raimrova-Q | 3-2 |
| 2 | Maria Elena Camerin(6) - Rivero-WC | 6-4 6-3 |
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| Coatzacoalcos $25,000 | Apr 22 2001 |
| Qual 1 | Dominika Luzarova(6) - Rivero | 6-0 6-1 |
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| El Paso $10,000 Hard | May 27 2001 |
| 1 | Milangela Morales - Rivero(7) | 6-3 6-2 |
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| Hilton Head $10,000 Hard | Jun 10 2001 |
| 1 | Ekaterina Afinogenova-Q - Rivero | 6-3 4-6 6-0 |
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| Canet-En-Roussillon $10,000 | Jun 24 2001 |
| 1 | Lamia Essaadi - Rivero(8) | 7-5 6-75 6-1 |
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| Mont-De-Marsan $25,000 | Jul 1 2001 |
| Qual 1 | Rivero(2) | bye |
| Qual 2 | Maria Eugenia Brito - Rivero(2) | 6-0 6-0 |
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| Perigueux $10,000 | Jul 8 2001 |
| 1 | Julie Coin-Q - Rivero | 6-1 6-0 |
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| Poza Rica $10,000 | Aug 12 2001 |
| 1 | Rivero(2) | bye |
| 2 | Rivero(2) - Utako Suzuki | 6-4 6-2 |
| QF | Erika Clarke(6) - Rivero(2) | 6-2 6-4 |
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| San Luis Potosi $10,000 | Aug 19 2001 |
| 1 | Rivero(3) - Flavia Mignola | 6-4 7-64 |
| 2 | Rivero(3) - Nasheli Martinez | 6-0 6-3 |
| QF | Rivero(3) - Catalina Angeleri | 7-63 6-3 |
| SF | Erika Valdes(2) - Rivero(3) | 6-3 6-2 |
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| Mexico City $10,000 | Oct 7 2001 |
| 1 | Rivero(2) - Alejandra Ripoll-WC | 6-1 6-1 |
| 2 | Rivero(2) - Salome Llaguno | 6-2 6-3 |
| QF | Melissa Torres Sandoval(5) - Rivero(2) | 6-3 6-3 |
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| Pachuca $10,000 | Oct 14 2001 |
| 1 | Rivero(3) - Tania Hernandez-WC | 6-1 6-1 |
| 2 | Marina Bernshtein - Rivero(3) | 6-2 7-5 |
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| San Salvador $10,000 | Nov 11 2001 |
| 1 | Rivero(4) - Salome Llaguno | walkover |
| 2 | Astrid Waernes-Q - Rivero(4) | 5-7 7-5 6-0 |
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| Mexico City $25,000 Hard | Nov 18 2001 |
| 1 | Renata Voracova(6) - Rivero | 6-2 6-4 |