This article explores the potential of teaching intercultural competence in foreign language courses through the example of a pedagogical experience in a higher education institution. It provides a picture of intercultural dimension of foreign language education and foreign language teachers‘ social and moral responsibilities. Successful intercultural interactions presuppose unprejudiced attitudes, hence learners‘ intercultural competence: tolerance and understanding of other cultures as well as cultural self-awareness. Intercultural communicative competence can therefore be considered as one of the central aims of foreign language education so that learners can successfully communicate with people from different linguistic and cultural worlds. However, this article calls again to the problem of assisting the integration of intercultural communicative abilities into classrooms.