She has reached two WTA Tour singles finals. In 2005, she lost to Ana Ivanovic in Canberra. In 2009, she defeated Lucie Šafářová in Quebec City for her first WTA Tour title. On the ITF Tour, she has won 20 singles titles.
She played her first tournament at Budapest as a wild-carded in 2000. She entered the top 100 first in 2003 but slid down later. She won several single and double ITF titles, see below.
She reached the top 50 and won her first title at Quebec. As fifth seed, she defeated Aleksandra Wozniak in the semifinal, 6–3, 6–3, and Lucie Šafářová in the final, 4–6, 6–3, 7–5. She also reached one semifinal and four quarterfinals during the season. At the end of the year, she played at the Tournament of Champions in Bali where, she lost to Aravane Rezaï, 3–6, 5–7, and to Sabine Lisicki, 6–2, 6–7(1), 4–6, in the round-robin stage.
She started the year at Brisbane International in Australia as seventh seed. She defeated Lucie Hradecká in the first round, 6–4, 3–6, 6–3, and Barbora Záhlavová-Strýcová in the second, 6–3, 2–6, 6–1. In the quarterfinals, she lost to Justine Henin, 2–6, 6–3, 6–7(5). Meanwhile, she reached the doubles final with Arantxa Parra Santonja, where they lost to Andrea Hlaváčková and Lucie Hradecká, 6–2, 6–7(3), 4–10. Next, she played the Moorilla Hobart International, where she lost to Gisela Dulko in the first round, 4–6, 2–6. In the Australian Open, she lost in the first round to Stefanie Vögele, 5–7, 7–6(5), 7–9.
Czink missed the Australian Open. She won two ITF events in Dothan and Indian Harbour Beach before returning to Grand Slam play with a protected rank at the 2011 Wimbledon Championships. As the lowest-ranked player in the tournament at world no. 262, she drew tenth seed Samantha Stosur in the first round. She recorded the biggest win of her career by upsetting the Australian, 6–3, 6–4. She then beat Anastasiya Yakimova of Belarus, 7–5, 6–3. In the third round for the first time, Czink lost to the 20th seed from China, Peng Shuai, 2–6, 6–7(5).
Czink began the 2012 season at the Brisbane International, but lost in the first round to qualifier Vania King in straight sets, 3–6, 4–6. Following this loss, she continued her hard-court season at the Apia International Sydney, where she won all three of her qualifying matches with wins over Silvia Soler Espinosa, Barbora Záhlavová-Strýcová, and Eleni Daniilidou. In the main draw, she was defeated by Chanelle Scheepers, 4–6, 2–6 in the first round. At the Australian Open, Czink lost in her second qualifying match to Nina Bratchikova in straight sets.
Czink's next tournament was the 2012 Abierto Mexicano Telcel. In the first round, she defeated Canadian Stéphanie Dubois in straight sets, before falling to Estrella Cabeza Candela in the second round. After this, she headed to Indian Wells for the BNP Paribas Open, but was eliminated by Alla Kudryavtseva in three sets in the first round of qualifying. Melinda then lost in the second round of an ITF event in Florida.
Czink then qualified for the Sony Ericsson Open, posting wins over Patricia Mayr-Achleitner and Laura Robson. In the first round, she crushed Italy's Alberta Brianti, 6–1, 6–2, but her run was cut short by 2011 French Open champion Li Na. After this, Melinda took a break from the WTA Tour and played another ITF tournament in Florida, losing in the first round to top seed Lucie Hradecká.
Melinda continued her U.S season by qualifying for the Family Circle Cup in Charleston, South Carolina. However, she was sent crashing out in the first round by Anastasia Rodionova, 2–6, 6–2, 1–6. After this, she flew to Denmark for the e-Boks Open, defeating Maria Abramović, Kathrin Wörle, and Amra Sadiković to qualify. She lost in three sets to Anne Keothavong in the first round.
Melinda's next tournament was the Grand Prix SAR La Princesse Lalla Meryem. She qualified without dropping a set, but was ousted by third seed Petra Cetkovská in the first round of the main draw. Due to her recent success, she cracked the top one 120 for the first time in over a year.
Czink then headed to her home tournament at the Budapest Grand Prix. In the first round of qualifications, she overcame French teenager Kristina Mladenovic, 4–6, 6–3, 6–4, and backed this up by demolishing Slovak Romana Tabak in the final round of qualifying. She faced fellow qualifier Mervana Jugić-Salkić in the first round of the main draw. She defeated Jugić-Salkić, 6–7(3), 6–0, 6–3, but fell in the second round to top seed Sara Errani, 4–6, 6–1, 1–6.
After this, Melinda played the 100K Open GDF Suez de Cagnes-sur-Mer Alpes-Maritimes, beating second seed Tímea Babos, 3–6, 7–6 7–4, 6–2, in the first round on the way to the quarterfinals, where she fell to wildcard Caroline Garcia in three sets. She then lost in the first round of a 50K event in France to Aravane Rezaï.
At the French Open, Melinda crushed British Anne Keothavong, 6–1, 6–2, in the first round, but was defeated by 22nd seed Anastasia Pavlyuchenkova, 6–4, 3–6, 3–6, in the following round.
Czink lost in the first round of the Australian Open.