Quite a few recent ECJ judgments touch on various elements of territorial rule. Thereby, they raise the profile of the main question this Article asks: Which territorial claims does the EU make? To provide an answer, the present Article discusses and categorizes the individual elements of territoriality in the EU’s architecture. The influence of EU law on national territorial rule on the one hand and the emergence of territorial governance elements at the European level on the other provide the main pillars of the inquiry. Once combined, these features not only help to improve our understanding of the EU’s distinctly supranational conception of territoriality. What is more, the discussion raises several important legitimacy questions. As a consequence, the Article calls for the development of a theoretical model to evaluate and justify territoriality in a political community beyond the state.