The authors consider the specifics and possibilities of applying information technologies during foreign language training in non-linguistic universities of Russia, especially in conditions of preventing the spread of a new coronavirus infection (Covid-19) in the Russian Federation at Moscow State Institute of International Relations University of the Ministry of Foreign Affairs of the Russian Federation and REU named after. G.V. Plekhanov (Moscow) in 2018-2020 years (undergraduate and graduate levels). The foreign language e-learning practice is analyzed. The authors view: educational platforms (Google class, Moodle, MS Teams, Edmodo) that allow to organize off-line classes; conducting on-line classes by means of on-line conferences (Zoom, MS Teams, Google handout); usage of educational sites and applications, as well as sites (with duplicate applications) for assessment and creating tests and handouts that allow lectures to prepare for lessons, and students to improve their level of language proficiency. Authors present the experience of MGIMO and REU named after G.V. Plekhanov, where the professors of Foreign Languages Department No. 1 conduct a number of courses on their platforms on an ongoing basis using pedagogical and information technologies. We briefly discuss the specifics of project method applying through the mentioned technologies and provide examples from the educational practice of MGIMO, for example, the "Readers' Conference", a teleconference, reports and other on-line video projects, which undoubtedly contribute to the development of educational motivation of students in studying English. It is proved that the use of information technology meets the requirements of the higher education standard and is aimed at achieving the stated results of training in the subject "Foreign Language".