This work presents the analysis of a proposal designed in the field of initial teacher training, the aim of which is to promote the presence of schools in a university context. With the objective of enabling students to experience practical and reflective learning, we have designed a process of interuniversity collaboration focused on horizontally developing interaction and the generation of knowledge. The deconstruction of the process, based on a narrative approach, has allowed us to open a space to reflect on the actions that encourage participation and exchange between undergraduate students from different universities and promote links with schools. The results show the transformations of the protagonists of the experience and of those who participated indirectly, redefining personal stories in the context of collaborative work and the improvement of our professional development. It also shows the implications of an interuniversity project, recounting the richness inherent in the mixture of geographical and cultural contexts involved. The dilemmas and critical incidents allow us to guide the introduction of improvements in the next cycle of collaboration.