This work starts with the theoretical definition of the conception of "talent"; then follows the explanation of the possibilities to identify and encourage talented pupils and students. Giftedness is regarded in terms of communication and interactive communication among the subjects of educational process. The attention is paid to the teacher's expert analysis in estimating talented students as an important factor of communication between students and teachers and the role that the students as proactive subjects have in the development and estimation of personal capabilities. The possibilities of encouraging talented students during their study are suggested in the form of talks on the choice of the study course in relation to the talent development. The results of the research into interactive communication with students as proactive subjects in the talent development are enclosed as well as several suggestions on how to promote one's personality as a very important segment in the educational institution. Long term programmes and their good strategy are to be made in educational work with talented student and training of university teachers for working with this population of students, promoting good communication skills at all levels of communication.