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Mr Meles was admitted to hospital in July. The nature of his condition has not been made public.
Speculation about his health began when he missed an African Union summit in Addis Ababa earlier last month.
Mr Meles took power as the leader of rebels that ousted communist leader Mengistu Haile Mariam in 1991.
Deputy Prime Minister Hailemariam Desalegn, who is also Ethiopia