The paper poses and solves the problem of the technological organization of extracurricular individual activities of foreign undergraduates. The technological effectiveness of the individualized educational process during graduate studies, developing on the basis of the implementation of the capabilities of information and telecommunication technologies, provides faster and better mastery of knowledge, skills and abilities by foreign undergraduates. Information library resources play a significant role in their development, offer great didactic opportunities for individualized training of foreign Masters in education management who do not speak Russian well and, as a result, need tutorial support outside the classroom to process professionally significant scientific information. The authors present a theoretical and methodological substantiation and the results of modeling and testing the technology of extracurricular individualization of foreign Masters training in education management under the guidance of a librarian using a set of information library resources. This technology provides for the interconnected educational and research activities of a foreign undergraduate and the advisory activities of a librarian, implemented during extracurricular times and aimed at the individual processing of professionally significant scientific information in professionally defined situations using a set of information library resources used as means of pedagogical communication to achieve professional goals. The complex of information library resources includes: print collections, electronic catalogs, search platforms and electronic databases and takes into account the direction of training of foreign undergraduates. The technological process of extracurricular individualization provides an algorithm for the interrelated actions of a librarian and a foreign undergraduate in the design, organization, implementation, monitoring, evaluation and diagnosis of educational results and difficulties of extracurricular individual scientific activity. The organizational and pedagogical conditions for the effective implementation of the authors technology are determined and diagnostic tools are developed, including tests and diagnostic criteria for the level of mastery of complex of information library resources. The simulated technology provides individual informational, methodological support to each foreign undergraduate and improves the quality of their research activities, implemented in the virtual educational space of libraries.