We propose a renewed reflection on the question of hospitality at a time when "we no longer counted on it" (R. Schérer), with regard to this moment in history of which we are contemporaries, i.e. collectively informed or personally affected and thus taking part in it since we at least have some conversation, concern or indignation about what is happening - the violent response of nation-states to the circulation of migrants. The present moment can also be read, beyond fears and indignation, as the beginning of a new adjustment between mobility and (multi-)locality. If we want to take the measure of the world as well as that of each place, we'll have to rethink hospitality, re-imagining its material and social means today, in a context where we can't prevent anyone from wanting to move. This raises questions of social anthropology and urban organization, but the first condition for a contemporary revival of hospitality is political.