Geldiýewa has played for Turkmenistan in 7 Chess Olympiads (1994-2002, 2006, 2010) and won two individual gold medals at Board 1 in 32nd Chess Olympiad (1996) and 33rd Chess Olympiad (1998). Also she has played for Turkmenistan in Soviet Women's Team Chess Championships (1986-1991) and Asian Games in 2010.