Does the Presidency of the Council of the European Union have the ability to direct the political attention of this body by emphasizing and de-emphasizing policy issues according to its own priorities? This study examines this question empirically by relying on a new dataset on the monthly meeting duration of Council working parties in different policy areas between 1995 and 2014. The results of variance component analyses show that a considerable part of the over-time variation in the relative amount of political attention devoted to a policy area is systematically related to different Presidency periods. While not negating the constraints imposed on the Presidency by inherited agendas, programming and co-ordination requirements with other actors, the findings are consistent with the view that the Presidency has substantial scope for agenda-setting by determining what issues are being discussed, when they are being discussed and how much time is devoted for their discussion.