The article presents an experience of intercultural dialogue through a class shared among Brazilian students of the "Kaingang" people and history students of Coventry University in the United Kingdom. It is inspired by the proposal of intercultural philosophy that postulates the dialogue between cultures as a method to articulate an alternative project to the current process of globalization, based on the diversity of cultures understood as reserves of humanity capable of providing resources for a globalization based on cooperation between peoples and cultures. The construction of this dialogue requires concrete actions and proposals that carry forward what is merely stated philosophically. We believe that the educational field, in particular the indigenous school, is an excellent space to articulate the intercultural dialogue in a practical and concrete way. Therefore, in addition to presenting the experience, its results are evaluated qualitatively, showing the positive impact it had on the two groups that participated in it.