Containment, as a way of restricting mobilities, ranges from physical infrastructures to diffused control practices in everyday life. Alongside their physical, social, and political dimensions, such restrictions also engender various temporal borders and experiences of time particular to situations of containment. A prolific field of research has identified waiting and hope as strategies for both enforcing and surpassing containment. In response, anthropological research on future-making has highlighted a more diverse set of contextual and emergent practices that derive from imagining and realising migrants’ futures. Yet, in contrast to waiting, migrants’ future-making practices have seldom been related to containment. Besides containment informing future-making, migrants and control actors also manipulate time as they plan or experiment with futures to overcome or reinforce containment. Carrying elusive promises of a better future, containment infrastructures can also motivate migrants to stay put and accommodate restrictions to their mobility. This paper addresses how such different relational, often conflicting, practices of envisioning and realising migrant futures contribute to or subvert different types of containment. Building on empirical studies from Turkey, Niger and Kenya we suggest future-making as a relational, practice-oriented and contextual approach suited to trace the negotiation of migrant futures between migrants, control actors, and infrastructures in situations of spatiotemporal containment. We give special attention to resettlement as a form of containment due to its ability to limit mobility through promises of future mobility and its role in negotiating migrant futures. This article serves as a theoretical introduction into the emerging research field of contested future-making in containment and to the corresponding paper cluster.