Tutorial accompaniment constitutes at present a necessary alternative in the framework of higher education. This work starts with a general conceptualization of the tutorial, and makes a review of the styles, methods and procedures related to this academic life facet which can effectively contribute to reach the goals the present higher education pursuit when it is applied in a coherent and systematic way. Considering the changes that the economy as well as the legislation have generated in education, and mainly in those Latin-American university programs, it is necessary to generate changing processes on the curriculum conceptualization, the teaching activities and the academic planning, and also to promote tutorial programs to the students, in order to respond to the difficulties they confront along the different stages of their lives. This research emerges from the one carried out about the effectiveness of a tutorial program at a Psychology Department. It pretends to highlight the principal points of the accompaniment tutorial programs that require to be adjusted and adapted, in order to facilitate an educational service aimed to consider not only the professional training but the personal formation as well.