Keleti emigrated to Israel in 1957, competing in the 1957 Maccabiah Games, and was able to send for her mother and sister. In 1959, she married Hungarian physical education teacher Robert Biro whom she met in Israel, and they had two sons, Daniel and Rafael. Following her retirement from competition, Keleti worked as a physical education instructor at Tel Aviv University, and for 34 years at the Wingate Institute for Sports in Netanya. She also coached and worked with Israel's national gymnastics team well into the 1990s. Since 2015, she has lived in Budapest.