 From 1993 to 2004, Aleksidze participated in the Geneva Discussions on Abkhaz problems as a member of the Georgian delegation; from 1994 to 1999, he was a representative of Georgia at the sessions of the UN Commission on Human Rights; from 1993 to 1995, he was a law expert of the Georgian delegation at the 47th and 49th Sessions of the UN General Assembly.In June 1993, Aleksidze was deputy head of the Georgian delegation at the Vienna International Conference on Human Rights; in March 1997, he was head of the Georgian delegation at the session of the Human Rights Committee; in July 1998, he was the law expert at the Rome Conference of the International Criminal Court.In July 2001, Aleksidze was chairman and expert at the course of international regional trainings on international and regional mechanisms of human rights protection.