 He also came up with the concept of the "Concert of Medium Powers".In his position as Minister of External Affairs, Akinyemi headed numerous Nigerian delegations.Among the delegations he headed were his country's delegations to the United Nations General Assembly Session (1985), the Organisation of African Unity, Council of Ministers Session (1986), the Non–Aligned Foreign Ministers Conference (1986), the United Nations General Assembly Annual Session (1986), the United Nations General Assembly Special Session on the Critical Economic Situation in Africa (1986), the Budget Session of the Council of Ministers of the Organisation of African Unity (1987), the Ordinary Session of the Council of Ministers of the Organisation of African Unity (1987), the United Nations General Assembly Session (1987), and to the Extra–Ordinary Session of the Council of Ministers of the Organisation of African Unity devoted to African debt (1987).