The definition of a European identity remains a much debated issue. While a temptation exists to link it to undefined cultural aspects such as history or religion, some have insisted on the opportunity to build a post-modern identity of the EU, based on the core values of the European project: peace, liberal democracy, human rights, etc. This paper will argue that this promising post-modern identity cannot avoid defining its own territory. The main point is that the EU has already taken this path: it lacks a clear geographical representation, either external (linked to the dynamics of enlargement) or internal (linked to the superposition of administrative spaces). The paper will try to demonstrate that two main reasons can be appealed for this situation: the philosophical rejection of the borders, viewed as a symbol of nationalism and war, and the existentialist need for the European unity.