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| Vale Do Lobo $10,000 Hard | Feb 8 2004 |
| Qual 1 | Melikishvili(8) | bye |
| Qual 2 | Melikishvili(8) - Rebecca Fong | 6-2 6-3 |
| Qual 3 | Melikishvili(8) - Nikol Dimitrova | 6-0 2-0 |
| Qual 4 | Melikishvili(8) - Violette Huck | 6-1 6-1 |
| 1 | Melikishvili-Q - Kildine Chevalier(1) | 6-4 6-3 |
| 2 | Ekaterina Ivanova-Q - Melikishvili-Q | 6-1 6-4 |
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| Albufeira $10,000 Hard | Feb 15 2004 |
| Qual 1 | Melikishvili(15) - Ceara O'Neill | 6-3 6-0 |
| Qual 2 | Melikishvili(15) - Maria Jose Barbieri | 6-0 6-2 |
| Qual 3 | Melikishvili(15) - Veronika Ctvrtnickova | 6-0 6-1 |
| Qual 4 | Melikishvili(15) - Verdiana Verardi | 4-6 7-64 6-4 |
| 1 | Melikishvili-Q - Laura Rocchi | 6-3 6-2 |
| 2 | Melikishvili-Q - Hannah Collin(6) | 6-2 6-1 |
| QF | Melikishvili-Q - Soledad Esperon | 4-6 6-2 6-1 |
| SF | Irina Kotkina-Q - Melikishvili-Q | 6-4 7-65 |
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| Portimao $10,000 Hard | Feb 22 2004 |
| 1 | Melikishvili - Zsuzsanna Babos(3) | 2-6 7-5 6-3 |
| 2 | Nadja Pavic - Melikishvili | 5-7 6-3 6-0 |
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| Augusta $25,000 Hard | Apr 4 2004 |
| Qual 1 | Tiffany Dabek(11) - Melikishvili | 5-7 6-0 6-0 |
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| Fed Cup Group II | May 1 2004 |
| | Yvonne Doyle-irl - Melikishvili | 7-5 6-4 |
| | Melikishvili - Liga Dekmeijere-lat | 3-6 6-4 6-2 |
| | Melikishvili - Carina Bjornstrom-fin | 6-1 6-1 |
| | Aliaa Fakhry-egy - Melikishvili | 0-6 4-6 |
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| Oradea $10,000 Clay | May 30 2004 |
| 1 | Melikishvili(2) - Andrea Patricia Braica-LL | 6-2 6-3 |
| 2 | Melikishvili(2) - Melissa Gibb-Q | 6-1 6-1 |
| QF | Melikishvili(2) - Anamaria Sere-WC | 6-4 6-4 |
| SF | Petra Novotnikova-Q - Melikishvili(2) | 6-3 6-2 |
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| Constanta $10,000 Clay | Jun 6 2004 |
| 1 | Melikishvili(3) - Nadejda Vassileva | 6-1 7-5 |
| 2 | Melikishvili(3) - Danielle Steinberg | 6-1 6-2 |
| QF | Melikishvili(3) - Lenore Lazaroiu-Q | 3-6 6-0 7-5 |
| SF | Melikishvili(3) - Elena Gancheva | 6-1 6-1 |
| F | Melikishvili(3) - Linda Smolenakova(4) | 6-2 6-1 |
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| Pitesti $10,000 Clay | Jun 13 2004 |
| 1 | Melikishvili(3) - Visnja Vuletic | 6-4 6-0 |
| 2 | Melikishvili(3) - Raluca Olaru | 6-4 1-6 6-1 |
| QF | Melikishvili(3) - Elena Gancheva | 1-6 7-64 6-4 |
| SF | Mihaela Buzarnescu-LL - Melikishvili(3) | 6-4 7-5 |
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| Brasov $10,000 Clay | Jun 20 2004 |
| 1 | Melikishvili(3) - Raluca Olaru | 7-62 6-2 |
| 2 | Melikishvili(3) - Delia Damaschin-Q | 6-0 6-1 |
| QF | Melikishvili(3) - Andrada Dinu-Q | 6-3 6-1 |
| SF | Mihaela Buzarnescu-WC - Melikishvili(3) | 3-6 7-61 7-5 |
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| Moscow $25,000 Clay | Aug 29 2004 |
| Qual 1 | Melikishvili(4) - Kateryna Polunina-WC | 5-7 6-4 6-1 |
| Qual 2 | Yaroslava Shvedova(14) - Melikishvili(4) | 6-2 6-3 |
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| Tbilisi $10,000 Clay | Sep 12 2004 |
| 1 | Melikishvili(3) - Maria Rakhmanina-LL | 6-1 6-1 |
| 2 | Melikishvili(3) - Svetlana Mossiakova | 6-4 6-1 |
| QF | Melikishvili(3) - Irina Kuzmina | 6-2 6-2 |
| SF | Maria Kondratieva(1) - Melikishvili(3) | 6-3 4-6 6-2 |
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| Tbilisi $25,000 Clay | Sep 19 2004 |
| 1 | Elena Vesnina(3) - Melikishvili | 6-1 6-3 |
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| Batumi $50,000 Hard | Sep 26 2004 |
| 1 | Elena Vesnina - Melikishvili | 6-1 6-0 |
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| Port Pirie $25,000 Hard | Nov 14 2004 |
| Qual 1 | Melikishvili(9) | bye |
| Qual 2 | Melikishvili(9) - Vera Leontieva | 6-1 6-1 |
| Qual 3 | Meng Yuan(2) - Melikishvili(9) | 6-4 6-0 |
| 1 | Melikishvili-LL - Julie Ditty | 6-2 6-1 |
| 2 | Suchanun Viratprasert(3) - Melikishvili-LL | 6-2 6-1 |
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| Nuriootpa $25,000 Hard | Nov 21 2004 |
| Qual 1 | Melikishvili(12) - Lauren Cheung | 6-3 6-3 |
| Qual 2 | Melikishvili(12) - Mari Andersson | 6-1 6-4 |
| Qual 3 | Melikishvili(12) - Katie O'Brien | 4-6 6-4 6-4 |
| 1 | Evie Dominikovic(1) - Melikishvili-Q | 6-1 6-3 |
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| Mount Gambier $25,000 Hard | Nov 28 2004 |
| Qual 1 | Melikishvili(10) | bye |
| Qual 2 | Melikishvili(10) - Kimberley Ruxton | 6-0 6-2 |
| Qual 3 | Melikishvili(10) - Katie O'Brien(6) | 6-4 6-2 |
| 1 | Melikishvili-Q - Daniella Jeflea-WC | 5-7 6-2 6-2 |
| 2 | Melikishvili-Q - So-Jung Kim | 6-4 7-5 |
| QF | Suchanun Viratprasert(3) - Melikishvili-Q | 6-3 6-3 |