The article addresses the needs of educational system in context of rapidly developing globalization and explores internationalization of higher education as one of the main factors which contributes to integration of international dimension to professional training at universities. Different components and strategies of internationalization, such as strong collaboration in teaching, internationalization of the curriculum, cooperation in researches and knowledge production, students and professors’ mobility, and participation in international networks are analyzed in connection to education reform in Russia. The article provides the comparison of internationalization policies in Russian and Vietnamese education systems, argues that innovations in higher education should be adjusted to the national interests, traditions and mentality and finally describes new strategies in collaboration of Russia and Vietnam in the field of education.