In this article, we identify usual difficulties faced by Brazilian psychologists when dealing with Amerindian Peoples, concerning the systematic violence experienced by those Peoples, who have been suffering and fighting against a process of genocide and ethnocide. To identify those difficulties, we analysed speeches of Amerindian leaders of the State of São Paulo - Guarani Mbya, Pankararu, Xavante, Baniwa, Tupi- Guarani, Terena, Kaingang and Krenak - which were addressed to psychologists. Those speeches were delivered in events promoted by CRP-SP in 2010 and in the 2nd and 3rd Forums "The Amerindian presence in São Paulo" at the Institute of Psychology (USP), in 2014. From the analysis, we make a distinction between the notions of meeting and dialogical encounter, considering that: 1. not every meeting is an encounter, in the dialogical sense, because the meeting can happen in a way that one of the interlocutors is objectified by the other and 2. being together and building an affective ground is an a priori for the dialogical encounter to happen. Based on the leaderships` speeches and in the notions of Amerindian perspectivism and the phenomenology of alterity in Cultural Psychology, we propose alternative paths to understand constitutive aspects of a dialogical meeting in such interethnic situation. These reflections are proposed as a theoretic-empirical work, as it departs from the comprehension that the theoretical problems are not separated from the concrete situation that enables them to emerge.