The Council of the European Union is an Institution with a formal legislative role. It is composed of different configurations of national Ministers (one per country). The exact configuration of each meeting depends on the topic under discussion.
In the Foreign Afffairs Council, Ireland is represented by Minister for Foreign Affairs, Eamon Gilmore TD, and Minister of State for European Affairs, Lucinda Creighton TD. For more information please see: http://www.eu2013.ie/events/event-items/meetingofforeignaffairscouncilfac-20130422/