Between 1982 and 1998 Raymonde M.E.A. Dury was member of the European Parliament. During this period she was member and Vice-Chair of the Socialist Group, Vice-Chair of the Group of the Party of European Socialists, Vice-Chair of the Committee on the Rules of Procedure and Petitions, Vice-Chair of the Committee on Petitions, member of the Committee on Development and Cooperation, member of the Committee on Social Affairs and Employment, member of the Committee on the Rules of Procedure, the Verification of Credentials and Immunities, member of the Committee on Women's Rights, member of the Political Affairs Committee, member of the Committee on Institutional Affairs, she elected among the Members from the European Parliament to the Joint Assembly of the Agreement between the African, Caribbean and Pacific States and the EEC (ACP-EEC), she was member of the Committee on Foreign Affairs and Security, member of the Subcommittee on Human Rights, member of the Members from the European Parliament to the Joint Assembly of the Agreement between the African, Caribbean and Pacific States and the European Union (ACP-EU), member of the Delegation for relations with Transcaucasia.
She is married with the French politician Jean-Pierre Cot.