She won a total of four singles and ten doubles ITF titles during her career and on 24 May 1999 peaked at No. 181 in the singles rankings. On 7 June 1999, Köves achieved a career-high doubles ranking of world No. 138.
Partnering Rebecca Jensen, Köves reached the second round of the 1994 US Open women's doubles tournament.
ITF Circuit finals
Singles: 7 (4–3)
| Legend | | $100,000 tournaments | | $75,000 tournaments | | $50,000 tournaments | | $25,000 tournaments | | $10,000 tournaments | | | Finals by surface | | Hard (3–1) | | Clay (1–0) | | Grass (0–0) | | Carpet (0–2) | |
| Outcome | No. | Date | Tournament | Surface | Opponent | Score |
| Runner-up | 1. | 27 November 1989 | ITF Budapest, Hungary | Carpet (i) |  Karina Habšudová | 4–6, 1–6 |
| Winner | 1. | 30 September 1996 | ITF Thessaloniki, Greece | Hard |  Eleni Daniilidou | 6–3, 6–2 |
| Runner-up | 2. | 9 December 1996 | ITF Přerov, Czech Republic | Carpet (i) | Květa Hrdličková | 2–6, 3–6 |
| Runner-up | 3. | 24 February 1997 | ITF Jaffa, Israel | Hard |  Tzipora Obziler | 5–7, 4–6 |
| Winner | 2. | 16 June 1997 | ITF Tallinn, Estonia | Hard |  Elena Voropaeva | 6–1, 6–2 |
| Winner | 3. | 23 June 1997 | ITF Båstad 2, Sweden | Clay |  Annica Lindstedt | 4–6, 7–6(7–4), 6–2 |
| Winner | 4. | 1 February 1999 | ITF Wellington, New Zealand | Hard |  Natalie Grandin | 6–2, 6–2 |
Doubles: 23 (10–13)
| Legend | | $100,000 tournaments | | $75,000 tournaments | | $50,000 tournaments | | $25,000 tournaments | | $10,000 tournaments | | | Finals by surface | | Hard (4–4) | | Clay (6–8) | | Grass (0–0) | | Carpet (0–1) | |
| Outcome | No. | Date | Tournament | Surface | Partner | Opponents | Score |
| Runner-up | 1. | 20 June 1988 | ITF Bad Gastein, Austria | Clay |  Florentina Curpene |  Aurelia Gheorghe
 Nelia Kruger | 4–6, 6–7 |
| Runner-up | 2. | 1 May 1989 | ITF Sezze, Italy | Clay |  Virág Csurgó |  Henriette Kjær Nielsen
 Natalie Tschan | 0–6, 6–3, 3–6 |
| Runner-up | 3. | 8 May 1989 | ITF Schwarzach, Austria | Clay | Virág Csurgó |  Esmir Hoogendoorn
Stefanie Rehmke | w/o |
| Runner-up | 4. | 9 July 1990 | ITF Subiaco, Italy | Clay | Virág Csurgó |  Kylie Johnson
 Barbara Mulej | 6–7, 0–6 |
| Winner | 1. | 6 November 1995 | ITF Santo Domingo, Dominican Republic | Clay | Rebecca Jensen | Keirsten Alley
Angela Bernal | 2–6, 6–1, 6–3 |
| Winner | 2. | 8 January 1996 | ITF San Antonio, United States | Hard | Pam Nelson |  Saori Obata
Nami Urabe | 2–6, 6–4, 6–1 |
| Winner | 3. | 15 January 1996 | ITF The Woodlands, United States | Hard | Kelly Pace | Erica Adams
Claire Sessions Bailey | 7–5, 4–6, 6–2 |
| Winner | 4. | 10 June 1996 | ITF Budapest, Hungary | Clay | Virág Csurgó |  Ángeles Montolio
 Fabiola Zuluaga | 5–7, 7–5, 6–2 |
| Runner-up | 5. | 7 October 1996 | ITF Nicosia, Cyprus | Clay | Andrea Noszály | Petra Kučová
Blanka Kumbárová | 5–7, 2–6 |
| Runner-up | 6. | 28 October 1996 | ITF Curaçao, Netherlands Antilles | Hard |  Joanne Moore | Keirsten Alley
Jackie Moe | 1–6, 6–3, 4–6 |
| Winner | 5. | 11 November 1996 | ITF San Salvador 2, El Salvador | Clay | Joanne Moore |  Liza Andriyani
Giana Gutiérrez | 2–6, 7–5, 7–6(7–1) |
| Runner-up | 7. | 3 February 1997 | ITF Reykjavík, Iceland | Carpet (i) | Adrienn Hegedűs |  Linda Jansson
Annica Lindstedt | 6–4, 1–6, 2–6 |
| Runner-up | 8. | 24 February 1997 | ITF Jaffa, Israel | Hard |  Patrícia Marková | Milena Nekvapilová
Hana Šromová | 4–6, 2–6 |
| Runner-up | 9. | 31 March 1997 | ITF Makarska 1, Croatia | Clay | Helena Vildová | Evgenia Kulikovskaya
Caroline Schneider | 1–6, 6–4, 4–6 |
| Winner | 6. | 19 May 1997 | ITF Zaragoza, Spain | Clay | Kim de Weille | Eva Bes
Lourdes Domínguez Lino | 7–6(7–4), 6–4 |
| Runner-up | 10. | 16 June 1997 | ITF Tallinn, Estonia | Hard | Kirsi Lampinen | Magdalena Kučerová
Gabriela Kučerová | 4–6, 1–6 |
| Runner-up | 11. | 6 October 1997 | ITF Thessaloniki, Greece | Hard | Adrienn Hegedűs |  Katia Altilia
Charlotte Aagaard | 6–7(5–7), 1–6 |
| Winner | 7. | 6 July 1998 | ITF Puchheim, Germany | Clay | Virág Csurgó | Silke Meier
Jasmin Wöhr | 4–6, 6–0, 6–3 |
| Runner-up | 12. | 13 July 1998 | ITF Darmstadt, Germany | Clay | Virág Csurgó |  Laurence Courtois
 Noëlle van Lottum | 5–7, 2–6 |
| Runner-up | 13. | 14 September 1998 | ITF Otočec, Slovenia | Clay |  Dragana Zarić |  Katarina Srebotnik
Jasmin Wöhr | 2–6, 3–6 |
| Winner | 8. | 15 February 1999 | ITF Redbridge, United Kingdom | Hard (i) | Dragana Zarić | Lenka Němečková
 Patricia Wartusch | 6–1, 6–4 |
| Winner | 9. | 1 March 1999 | ITF Biel 1, Switzerland | Hard (i) | Dragana Zarić | Laura Bao
Marylene Losey | 6–2, 6–2 |
| Winner | 10. | 8 May 2000 | ITF Swansea, United Kingdom | Clay | Dragana Zarić | Natalia Egorova
Ekaterina Sysoeva | 2–6, 6–4, 6–3 |
References
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Hungary
Karina Habšudová 
Eleni Daniilidou 
Tzipora Obziler 
Elena Voropaeva 
Annica Lindstedt 
Natalie Grandin 
Florentina Curpene 
Aurelia Gheorghe 
Nelia Kruger 
Henriette Kjær Nielsen 
Natalie Tschan 
Esmir Hoogendoorn 
Kylie Johnson 
Barbara Mulej 
Saori Obata 
Ángeles Montolio 
Fabiola Zuluaga 
Joanne Moore 
Liza Andriyani 
Linda Jansson 
Patrícia Marková 
Katia Altilia 
Laurence Courtois 
Noëlle van Lottum 
Dragana Zarić 
Katarina Srebotnik 
Patricia Wartusch 