The article argues that the convergence and coordination of higher education systems in Latin America and the consolidation of a common area covering the whole continent, constitutes a significant challenge and an inevitable process faced with the situation of fragmentation that is recorded and the necessary stage for the formation of a Latin American Area that does not lead to a possible situation of neo-colonial character. The current situation and recent developments in higher education in Latin America are briefly characterized and the main convergence programs registered in the framework of regional integration processes are outlined. We analyze the programs, projects, works and studies of MERCOSUR, the European Committee, the UNESCO IESALC of the OEI, the OUI, the RIACES and some networks of existing universities. Finally, some proposals are made to address the challenge of consolidating the Latin American Space of Higher Education and its possible links with the Iberian-American and European space.