This chapter focuses on the reception system for migrants, a system that consists of procedures that take place between practices of what is known as first reception and longer-term plans for integration. When we use the term migrant in this chapter, we are referring to those who migrate towards a territory, have arrived at a territory, or live in the territory in question for a short or long period of time. Unless noted otherwise, the term does not distinguish between migrants, asylum seekers and refugees. Our research is built on an analysis of two key periods that are critical in the emergence, evolution and consolidation of this intermediary space. Firstly, at the start of the 2000s, reception emerged as a concept and practice related to the governance of so-called transit migration. This period was characterised by a plethora of complex forced and voluntary mobilities inside Greece and the EU. Furthermore, during this period, the state of ‘being in limbo’ became established as a situation in between borders, as well as in between transiting (through) and settling (in) a territory. During the second key period from 2015 to 2019, we observe contradictory policy attempts to consolidate migrant reception as a formal system, including new infrastructures like camps and housing programmes, which were maintained by diverse agents and jurisdictions. The ‘hotspot’ approach, the closing down of the Balkan route and the EU-Turkey Statement constituted important impediments to the development of inclusive practices by international humanitarian agencies and grassroots solidarity initiatives.