The article argues that it is impossible to explain the series of existential crises confronting present-day Europe without reference to the changing nature of borders. Unbounding and rebounding prompted by transnational and technological pressures reconfigures the relationship between territory, authority, and rights in Europe. It produces new winners and losers. It changes the geography of power and makes European institutions look inadequate if not obsolete. The article tries to utilize recent studies in the field of geography, economics, and communication to understand the evolution of European integration. Four spatial models or architectural designs are envisaged: variable geometry, ordo-liberal empire, functional networks, and cascading pluralism.