Abstract: The problem of talented students training was and remains a relevant one at all times but during the last 10-20 years it has become a particularly acute. This is due to the fact that our society needs more and more highly qualified professionals who may be prepared by training talented children. This is confirmed by the state program �Strategic talent management in RT for 2015-2020 years,� aimed at the deployment of a roadmap for the development of an effective talent management system in the Republic of Tatarstan. There is the problem of training and education of talents for national education. A definite contribution in its solution may be performed by specially selected teaching strategies. The researchers examined the role of some of these strategies in Foreign language teaching for talented students at a small specialized institute of a university as one of the most effective strategies used in the teaching of Foreign languages for talented studets in the Small Institute of Philology and Intercultural Communication (Small IFIC), the researchers call it the cooperative learning strategy Abdrafikova in 2014. The cooperative learning strategy was implemented in such forms of work with the students in the Small IFIC as interactive lectures, workshops, scientific conferences, individual work with gifted children, aimed at the disclosure of child abilities and his professional orientation. The cooperative learning strategy adapted to the conditions of work with talented students allowed to improve the efficiency of not only academic success of students but also of their intellectual and moral development. The researchers were able to prove that the use of cooperative learning strategy in the teaching of foreign language communication for gifted students is an effective one, it leads to a deeper understanding of specific linguistic phenomena and contributes to maintaining of a stable high motivation at the learning of Foreign languages. The study discusses issues and practices of the studied strategy and offers general recommendations for high schools faculty.