The externalisation of migration and border controls refers to a series of practices whereby States attempt to manage migration flows and enforce immigration policies beyond their borders, often by collaborating with other countries or non-state actors. Externalisation can involve various measures such as outsourcing border control functions, implementing agreements with neighbouring or transit countries to intercept migrants before they reach the State’s territory, and providing aid or incentives for other countries to prevent or reduce migration flows. Externalisation practices are employed to shift the burden of migration management away from the receiving state and onto other actors or territories, often to limit responsibilities and on the assumption that human rights obligations only apply territorially. In an attempt to challenge such an assumption and to frame the nature of human rights obligations in the context of externalisation practices, this article develops a taxonomy of externalisation measures and provides an overview of the jurisdictional approaches to the extraterritorial scope of human rights obligations.