Already in 1978 she was supposed to be on the Soviet woman's team playing at the 23rd Chess Olympiad in Buenos Aires.

Ioseliani also played for Georgia in the 1997 World Team Chess Championship, scoring 1½/7 on board 2.

[6] Ioseliani made a Grandmaster (GM) norm in the 2000 Schuhplattler Munich edition of the Women–Veterans chess tournaments.

In 2021, Ioseliani appeared in the documentary Glory to the Queen alongside Nana Alexandria, Nona Gaprindashvili, and Maia Chiburdanidze.

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