Thinking about educational accessibility in academic research constitutes a necessity in view of the reality of education today and investigations unexplored, such as the relation between the high skills/giftedness -AH/SD-, researchin university and educational accessibility. This paper aims to discuss the dialogue between school and university research regarding the accessibility of students with AH/SD, seeking to highlight some actions related to a research project of theUniversidade Federal de Santa Maria/RS. The discussion in this article is guided in a qualitative perspective, is the main theoretical support studies of Manzini (2005) and Freitas and Pérez (2010). Among the main considerations, it follows that: shared responsibility between school and university, through action research projects, contributes significantly to the establishment of educational accessibility for students with AH/SD.