The subject of the article is problem situations of intercultural communication, which lie in the basis of Case-studies - specialized descriptions of real situations containing problems, which must be analyzed and solved. The authors study approaches to the design of Case-studies that are necessary for the preparation of university students for participation in intercultural communication. The novelty of these Cases is to provide information that helps to deeply analyze the reality of other cultures and, through it, to rethink the participant’s native picture of the world. Consequently, the aim of the article is to prove the role of the Case-study method in the development of intercultural communicative competence of students, which allows them to overcome the conflict of the dialogue of cultures. To achieve this goal, the following research methods were used: content analysis of verbal products of activity, questioning, survey, theoretical analysis and generalization of information received. As a result the article contains an example of a Case-study on intercultural communication issues, as well as the list of the most conflict-sensitive areas of intercultural interaction. The article may be of interest to specialists in the field of intercultural communication, Case-study designers, teachers of foreign languages, authors of textbooks on foreign languages.