My presentation addresses gaps in the literature on the attraction of "desirable migrants," often focused on Western countries. It proposes to study framing and attractiveness policies in overlooked contexts of the "Global South," suggesting the use of Foucault's "dispositive". Its malleability and flexibility allow us to better analyze less institutionalized policies impacting incoming migrations in national setups with more informal public-private divisions and more opaque public policy-making. While the discussion aims to have a general outreach that can work for a variety of cases, this intervention will be fed by an analysis of the "attraction dispositives" put in place in two territories, the Republic of Cyprus and the contested territory of North-Cyprus.