At the moment the progresses of Eurasian integration and strengthening of cooperation within the EEU are developing actively. At the same time the implementation of Russian cultural and educational projects in the countries of Central Asia faces the problem of declining interest in the study of Russian culture, with a focus on American values. The countries of Central Asia according to official figures for 2016 have given 42% of the flow of migrants to the territory of Russia. The main reason of the existence of barriers to constructive interaction of the Russians and migrants are cultural differences. Educational migration takes a significant place in the overall flow of migrants. During studying period, foreign students acquire new social capital and become the proliferators of Russian language and culture. The potential of Russian universities in this respect is significant but little studied, recognized and used. The fundamental objective of the study is to identify the potential of the regional Russian universities impact on the process of mutual adaptation of migrants from Central Asia and Russians through the study of the mechanisms of cultural convergence of countries with different types of civilization. An empirical study in Yekaterinburg (the Russian megapolis with a high concentration of universities, its geographical location is attractive to the students from the Central Asia), will identify effective communication techniques in higher education, formative and reinforcing the positive attitude of foreign students to Russia and Russian cultural values. The obtained results will contribute to a cultural rapprochement of Russia and the countries of Central Asia, increasing the attractiveness of the Russian state, and higher education for the residents of these countries. This in turn will increase the migration attractiveness of Russia, support the processes of cultural convergence in Eurasian space, which can supplement and strengthen the processes of economic and political integration