World History and Global History generated chiefly an enlargement of geographical spaces, thus allowing the emerging of other ‘Enlightenments’ different from the European one. In fact, as far as the Enlightenment is concerned, it seems that a similar expansion of the idea of time did not correspond to the geographical one. Should historians yield and accept a basically geographical approach to global history (and to a global history of the Enlightenment)? Should they limit themselves to analyze spatial enlargement and transnational history, referring to conventional periodization? Or is it possible to revive the value and functions of Intellectual History and of the studies in the Enlightenment in a perspective of global history able to challenge also traditional outlooks of temporality?