Nyora kupfuurira kweiyi ndima - Muna 1983, Cherneva akahwina European amateur championships muvakadzi uye vakasanganiswa vaviri uye vakatora bronze muzvidzidzo zvakafanana pa1983 Summer Universiade. Kubva gore rimwe chetero, akatanga kutamba mumakwikwi epasi rose etennis. Muna 1984, akahwina mikombe yake yekutanga yeITF muSan Antonio neDelray Beach, uye paWimbledon Championships
vakaenderera mberi naSavchenko kuenda kumaquarterfinals, mushure mekukunda Kathy Horvath naVirginia Ruzici, pamwe naChris Evert naCatherine Tanvier. Mumakore matatu akatevera, Parkhomenko naSavchenko vakakunda makwikwi manomwe eVirginia Slims kusanganisira mana muna 1987. Vakatamba katatu mumutsara paVirginia Slims Championships, uye muna March 1986 vakafambira mberi ikoko kusvika kumasemifinal. Muna 1987, vakasvika kumasemifinals paWimbledon, mushure mokukunda vaviri vakanakisisa venyika, vachangobva kukunda Grand Slam Martina Navratilova naPam Shriver.