This thesis brings to the debate a study on the insertion of a university territory in the space it occupies, through the extensionist dimension of higher education. We seek to analyze the practices originating at the Praia Vermelha Campus of the Federal University of Rio de Janeiro (UFRJ), located in the south zone of the city of Rio de Janeiro, to understand the relationship between the university and the neighboring communities of this Campus. In its qualitative development, based on bibliographic and documentary research we discuss the formation of the university territory considering the approaches present in architecture and urbanism debates, and some historical aspects of the formation of this Campus; the built territory where the Campus is located is understood by an urban-social design, given by the characteristics and contradictions of the neighborhoodssurrounding it, and we examine the extension actions of this Campus from the perspective of the territories and places for whom these activities were directed, we seek to elaborate on the relationship between territory and university extension in this theoretical dimension. The work highlights the academic activities carried out between 1999 and 2009, when the UFRJ Extension Congresses began, whose Annals were the main documentary sources of the research. When examining the actions, we chose to identify and organize the thematic areas for each edition of the events, comparing each summary text contained in the Annals, according to the objects and objectives of the actions; ways of operationalise (modalities); public and respective territories; communication objectives; relations with the Praia Vermelha Campus (in addition to the connection) and the issues surrounding it; and institutional partnerships, and such experiences are contextualized by the formulations of the Extension policy in higher education and by its developments at UFRJ. In the set of results, social problems of various natures were evident, which can be constituted as demands for actions; just as the challenges of interdisciplinarity in university training and quality in the maintenance of Extension emerged, as part of the tripod of higher education. In relation to the central problem, the activities did not primarily cover demands from the highlighted territory, as they were focused on several others, with an emphasis on audiences in places close to Cidade Universitária (UFRJ), on Ilha do Fundão, and Baixada Fluminense, in Grande Rio.