The chapter explores language and non-language university students' practices of foreign language learning within the unscheduled shift to remote studies in Russia due to the COVID-19 emergency. The RUDN University Law Institute experience is considered as an example. The paper explores common and specific features of foreign language, translation, and interpreting skills training within the Law Institute language and non-language programmes. The research rests on the case study methodology, considered from the policy-making and managerial point of view. The findings reveal both common features and specificities of multilingual university education of non-language and language students. The study also confirms the need for the educational institutions to draft specific guidelines on language courses implementation for different target audiences during the COVID-19 pandemic. [For the complete volume, "The World Universities' Response to COVID-19: Remote Online Language Teaching," see ED614006.]