Applying human rights beyond state borders is thorny. Which law governs the property rights of a Palestinian whose orchard lies across the Israeli border, or the cross-border shooting of a Mexican citizen by a United States border control agent? This article explores the relationship between constitutional law and international law in the extraterritorial enforcement of human rights by offering a typology of models: the American, European and Israeli models. These models are analysed comparatively, highlighting their chosen legal source of rights: the American model applies constitutional law, the European model uses international law, and Israel combines the two.The article argues that the choice between constitutional and international law is important as it affects the nature and scope of rights, and reflects the relationship between the state and the territory it controls or within which it acts. The dynamic formation process of the Israeli model demonstrates the multiple possible ways to combine these two sources of law and formulate the relationship between them.All three models share a ‘constitutional mindset’: the use of basic legal concepts and reasoning in legally grey zones. However, these transnational processes are not deterministic and could result in original concepts, contradictions and discrepancies, as well as serve different political visions.