This article describes an innovative approach for teaching Russian as a foreign language to the bilingual students who speak Russian as a second native, using the original textbook "Russian Literature on the Screen". Currently, scientists study bilingualism in linguistic, sociolinguistic, linguistic-cultural and pedagogical aspects; as a result, there is a variety of approaches for teaching Russian as a foreign language to the bilingual students. The essence of the innovative method proposed by the authors is to include authentic audiovisual materials (first of all, Russian movies) in classes of the Russian as a foreign language and to use a specially elaborated training manual containing lexical, grammatical and communicative tasks for the viewed films. The principle of selection of educational material contained in the manual appears to be original. Since the formation of the sociocultural competence of foreign students is impossible without their acquaintance with the national richness of the country of the studied language, each of the lessons of the manual is devoted to viewing the screen version (screen adaptation) of Russian classical literature. This transformation of the written text into visual images increases the motivation of foreign students (even non-philological specialties) to study Russian literature, while fragments of the original text give students the idea of the individual style of prominent Russian writers. In addition, the manual includes information of a regional geographic and cultural nature, which gives foreigners the idea of different historical eras, national trends in music, painting, and theatrical art. The described tutorial contains a system of exercises, whose purpose is to eliminate spelling, punctuation and stylistic mistakes from the written and oral speech of students, as well as to develop the bilingual students' speech and thinking abilities, to improve listening and speaking skills, to expand the vocabulary. This textbook is successfully used in classes of Russian as a foreign language with bilingual students of 1-3 academic years of the Academy of Engineering and students of Physico-Mathematical and Environmental Faculties of the Peoples' Friendship University of Russia.