The Eurozone crisis is undermining the economic foundations of the EU as well as the process of European political integration. In this situation, it is meaningless to keep on going after the dream of the «United States of Europe». Rather, it is wiser to think about an alternative path toward political integration that might be followed even if the Euro collapses. The «Europe of hospitality» represents such an alternative. From the perspective sketched out in this article, the national political space of Member States should be preserved as the space of sovereignty, while the European political space should be conceived as a further and complementary space where both EU and non-EU nationals could find their place.