Currently, a very urgent problem in the university training system of students in foreign languages is the problem of designing educational and methodological complexes for classroom and extracurricular use. Analysis of this problem’s state in the context of social order allows us to note that the domestic market is insufficiently saturated with the required teaching aids. Existing textbooks differ, as a rule, either by a traditional formal approach or by a hypertrophied professional orientation and the absence of assignments aimed at independent extracurricular work. Educational and methodological complexes at the university level should be built based on communicative, sociocultural, and cognitive approaches. Raising the status of a foreign language in many countries’ education systems poses the task of creating new pedagogical, didactic, and methodological developments of conditions for improving the process of its learning. A characteristic feature of didactic aids is the versatility of their application. The structuredness of educational and methodological complexes in the form of multi-level blocks contributes to developing students of a scientific organization for the development of educational material, free orientation within the course, and the development of practical skills for performing control tasks. The main criteria for selecting material for students’ independent work are problematic, relevance, availability, adequacy, optimality of volume and complexity, the possibility of self-control and self-correction, and variability of tasks. Independent work in a foreign language in the context of cross-cultural interaction at non-linguistic faculties is an obligatory part of the educational process. The main goals are achieving an appropriate level of foreign language communicative competence and preparing graduates for an independent increase in foreign language proficiency. When planning and organizing students’ independent work in cross-cultural interaction, it is necessary to consider their readiness to perform this type of work: psychological, theoretical, practical.