Kammala jumla mai zuwa: A cikin 1983, Cherneva ya lashe gasar zakarun Turai na 'yan wasa a cikin' yan mata da 'yan mata biyu kuma ya ɗauki tagulla a cikin waɗannan fannoni a 1983 Summer Universiade. Daga wannan shekarar, ta fara wasa a wasannin tennis na duniya. A shekarar 1984, ta lashe kambun ITF na farko a San Antonio da Delray Beach, kuma a
Gasar Wimbledon ta ci gaba tare da Savchenko zuwa wasan kusa da na karshe, bayan ta doke 'yan wasa na uku Kathy Horvath da Virginia Ruzici, da kuma Chris Evert da Catherine Tanvier. A cikin shekaru uku masu zuwa, Parkhomenko da Savchenko sun lashe wasanni bakwai na Virginia Slims ciki har da hudu a shekarar 1987. Sun buga sau uku a jere a Gasar Virginia Slims, kuma a watan Maris na 1986 sun ci gaba zuwa wasan kusa da na karshe. A 1987, sun kai wasan kusa da na karshe a Wimbledon, bayan sun doke mafi kyawun ma'aurata a duniya, Martina Navratilova da Pam Shriver.