Abstract : In a starting XXI° century full with uncertainties and threats as much as potentialities, the concepts of territory and globalisation seem to clash together. Information and Communication technologies (Itc), which are not any longer new, but are always renewed, are supposed to make it possible to dissociate the major part of human activities from their material and space fixings; it is, in the broad sense, what one understands by delocalisation, virtuality, mobility of the “connected” workers, and variations on all e-something: e-learning, e-business, e-finance, e-marketing, etc This movement would take us along in a dematerialised “Cyberspace”, as P. Levy says it. The territory disappears. However the question of the territories seems increasingly prevalent as measured by the number of publications, theses, Web sites and interventions on the Net. Forsaking the ways of the economy and geopolitics, the object of this communication is to reflect on the symbolic role of territories in globalisation. The defended thesis is that borders are contingent and porous; cultures, ideas and knowledge diffuse through these pores; the privileged vector of this diffusion is the device of communication which is built on the Tic, as much as the travels which marked the first times of the intercontinental relation. Rather than speaking about borders, one will speak about crossings, cultural centres and alive moving identities which communicate by the means of the “translation” in the sense of P. Ricœur. The territory has its place in the mondiality.