Migration-related issues have, since approximately 2000, been the object of increased attention at the international level. This has led, among other things, to the production of international narratives, which aim both at understanding migration and at proposing policy recommendations on how to address it, with the objective of improving the governance of migration at the global level. But this implies overcoming dilemmas stemming from the diverging interests of states and other actors (like NGOs and the private sector). This article examines the way in which international migration narratives address skilled migration, which is characterised by some of the clearest political trade-offs between stakeholders. It argues that these narratives attempt to speak to all parties and conciliate contradictory arguments about what should be done, in order to discursively overcome policy dilemmas and create a consensus. While this is line with the mandate of international organizations, it depoliticises migration issues.