"This article focuses on the master’s degree of Communality Education understood as a higher education project, which takes place in the state of Oaxaca. We analyze the narrative of “the possible” present in the speeches of the students during their time at the postgraduate. We suggest that this metaphor is established as a bridge between “self-knowledge” (ancestral, indigenous, non-Western) versus the “knowledge of others” (Western, universal, hegemonic). We recover the critical perspective of the coloniality of knowledge to think about frames of interculturation of “own and others’” knowledge. The methodology is based on the construction of the bio-school trajectories of the program students, with emphasis on the experience of their choice by master’s degree. It is concluded that the metaphor of “what is possible” is a process of interculturation, if understood in terms of decolonizing to consolidate new knowledge."