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| Grenoble $10,000 Hard | Jan 25 2004 |
| 1 | Muller - Lenka Tvaroskova(7) | 6-3 6-1 |
| 2 | Muller - Florence Haring-Q | 7-66 6-4 |
| QF | Muller - Anne Kremer | 6-3 3-6 6-1 |
| SF | Muller - Valentina Sassi(4) | 4-1 |
| F | Muller - Aravane Rezaï-Q | 7-5 6-1 |
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| Sunderland $25,000 Hard | Feb 15 2004 |
| Qual 1 | Muller(7) - Katie Miles | 6-0 6-0 |
| Qual 2 | Muller(7) - Dragana Zaric(15) | 6-0 6-2 |
| 1 | Olga Barabanschikova - Muller-Q | 6-3 6-2 |
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| Redbridge $25,000 Hard | Feb 22 2004 |
| Qual 1 | Muller(15) - Karen Nugent | 6-0 6-1 |
| Qual 2 | Muller(15) - Valentina Sassi(3) | 6-2 6-2 |
| 1 | Muller-Q - Elena Baltacha-WC | 6-2 6-3 |
| 2 | Kaia Kanepi(1) - Muller-Q | 6-1 3-6 6-3 |
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| Bogota Tier III Hard | Feb 29 2004 |
| Qual 1 | Alona Bondarenko - Muller | 3-6 7-64 6-4 |
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| Athens $25,000 Hard | Mar 28 2004 |
| Qual 1 | Muller - Carla Tiene(3) | 6-1 7-5 |
| Qual 2 | Muller - Anna Koumantou-WC | 6-1 6-4 |
| 1 | Muller-Q - Dominika Nociarova | 5-7 7-65 7-65 |
| 2 | Virginie Pichet(4) - Muller-Q | 6-3 7-61 |
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| Patras $10,000 Hard | Apr 4 2004 |
| 1 | Muller(8) - Ekaterina Kirianova-Q | 6-1 6-2 |
| 2 | Muller(8) - Leslie Butkiewicz | 6-4 6-0 |
| QF | Muller(8) - Katarina Misic(4) | 6-2 6-4 |
| SF | Muller(8) - Vladimira Uhlirova | 6-0 6-0 |
| F | Ekaterina Dzehalevich - Muller(8) | 6-4 6-4 |
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| Biarritz $25,000 Clay | Apr 18 2004 |
| Qual 1 | Muller - Vanessa Henke(4) | 6-1 6-3 |
| Qual 2 | Muller - Valentina Sassi(14) | 6-74 6-3 6-2 |
| 1 | Muller-Q - Edina Gallovits-Hall(4) | 7-65 6-4 |
| 2 | Muller-Q - Pascale Leroy | 6-0 6-4 |
| QF | Muller-Q - Nina Duebbers | 6-1 6-1 |
| SF | Bahia Mouhtassine-Q - Muller-Q | 6-4 6-3 |
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| Bari $25,000 Clay | Apr 25 2004 |
| 1 | Muller - Giulia Casoni | 6-1 6-74 6-2 |
| 2 | Nuria Llagostera Vives(3) - Muller | 6-4 6-3 |
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| Taranto $25,000 Clay | May 2 2004 |
| Qual 1 | Muller(6) - Sara Errani | 6-2 4-6 6-4 |
| Qual 2 | Muller(6) - Marta Fraga(13) | 6-3 6-1 |
| 1 | Muller-Q - Jana Hlavackova | 4-6 7-5 6-1 |
| 2 | Muller-Q - Libuse Prusova(1) | 7-5 3-6 6-4 |
| QF | Muller-Q - Chanelle Scheepers-Q | 6-2 6-0 |
| SF | Muller-Q - Patricia Wartusch(3) | 5-7 6-2 7-5 |
| F | Muller-Q - Nina Bratchikova-Q | 6-3 6-2 |
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| Vienna Tier III Clay | May 23 2004 |
| Qual 1 | Ting Li (sr) - Muller | 6-3 6-2 |
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| Gorizia $25,000 Clay | Jun 20 2004 |
| 1 | Muller(8) - Gloria Pizzichini | 6-3 6-2 |
| 2 | Muller(8) - Alice Canepa | 0-6 6-2 6-2 |
| QF | Muller(8) - Nuria Roig-Q | 6-4 6-3 |
| SF | Muller(8) - Giulia Gabba-WC | 6-3 6-2 |
| F | Vanina Garcia Sokol-Q - Muller(8) | 6-1 6-4 |
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| Fontanafredda $25,000 Clay | Jun 27 2004 |
| 1 | Conchita Martinez-Granados(1) - Muller | 6-4 6-2 |
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| Stuttgart-Vaihingen $25,000 Clay | Jul 4 2004 |
| 1 | Muller - Anousjka Van Exel | 7-65 6-3 |
| 2 | Muller - Vanessa Henke | 7-5 1-6 6-4 |
| QF | Muller - Sabine Klaschka-Q | 6-3 6-0 |
| SF | Muller - Dessislava Topalova | 6-1 6-2 |
| F | Muller - Nathalie Vierin(3) | 6-2 7-5 |
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| Darmstadt $25,000 Clay | Jul 11 2004 |
| 1 | Andrea Petkovic-WC - Muller | 6-3 6-3 |
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| Palermo Tier V Clay | Jul 25 2004 |
| Qual 1 | Muller(4) - Laura Pous-Tio | 7-5 5-7 6-1 |
| Qual 2 | Delia Sescioreanu - Muller(4) | 6-2 4-6 7-67 |
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| Stockholm Tier IV Clay | Aug 8 2004 |
| Qual 1 | Muller(6) | bye |
| Qual 2 | Muller(6) - Karina Jacobsgaard-WC | 6-2 2-6 6-3 |
| Qual 3 | Julia Schruff(1) - Muller(6) | 6-3 6-4 |
| 1 | Sandra Kleinova - Muller-LL | 4-6 6-0 6-3 |
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| Sopot Tier III Clay | Aug 15 2004 |
| Qual 1 | Muller - Sybille Bammer(6) | 6-3 3-6 7-5 |
| Qual 2 | Muller - Valentina Sassi | 6-1 6-2 |
| Qual 3 | Eva Birnerova(4) - Muller | 6-2 6-1 |
| 1 | Klara Koukalova(11) - Muller-LL | 7-5 6-3 |
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| US Open Hard | Sep 12 2004 |
| Qual 1 | Yuka Yoshida - Muller | 6-4 2-6 6-1 |
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| Fano $50,000 Clay | Sep 12 2004 |
| 1 | Rita Kuti Kis - Muller(7) | 6-0 5-7 6-4 |
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| Bordeaux $75,000 Clay | Sep 19 2004 |
| Qual 1 | Muller(3) - Pascale Leroy | 6-2 6-3 |
| Qual 2 | Muller(3) - Nuria Roig | 6-2 6-3 |
| Qual 3 | Muller(3) - Laura Pous-Tio(6) | 6-1 6-2 |
| 1 | Stephanie Foretz Gacon - Muller-Q | 6-3 6-3 |
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| Biella $50,000 Clay | Sep 26 2004 |
| 1 | Zuzana Ondraskova(5) - Muller | 6-74 6-4 6-4 |
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| Hasselt Tier III Hard | Oct 3 2004 |
| Qual 1 | Muller - Davinia Lobbinger-WC | 6-3 6-3 |
| Qual 2 | Libuse Prusova(8) - Muller | 6-4 7-5 |
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| Filderstadt Tier II Hard | Oct 10 2004 |
| Qual 1 | Els Callens - Muller | 6-4 6-1 |
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| Tashkent Tier IV Hard | Oct 17 2004 |
| 1 | Yulia Beygelzimer - Muller | 6-0 6-1 |
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| Zurich Tier I Hard | Oct 24 2004 |
| Qual 1 | Adriana Barna - Muller-WC | 6-1 6-4 |
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| Luxembourg Tier III Hard | Oct 31 2004 |
| Qual 1 | Mandy Minella-WC - Muller | 7-5 3-0 |
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| Bergamo $50,000 Carpet | Dec 19 2004 |
| 1 | Elena Baltacha - Muller | 6-3 6-1 |