The paper aims to explore components that form the concept of personalized communication and tools that contribute to enhancing personalized contacts, provide grounds for students and teachers' mutual engagement in training within the context of unscheduled move to remote training during COVID 19 quarantine. The research design integrated the analysis of the relevant literature and empirical observation of the students' and teachers' activities, as well as the discussion thereof during the regular department meetings in the course of spring and autumn terms of 2020. The paper summarizes the data from the academic literature and the experience of the author who held classes in ten groups every week, including on-line contact hours and homework checking procedures with further comments to the students. The research findings reveal that the maintenance of personalized communication becomes critical for the psychological stability in the on-line classroom. The teacher's personal focus on every student's needs helps each student maintain his or her social self-identity in terms of personal capacity for studies, academic progress, interaction with teachers and peers in the learning group, etc. The choice of the adequate communication techniques plays a significant role in the above. These techniques need tailoring to a particular theme of the learning module, students' feelings and moods, etc. The above data leads to the conclusion that remote training during in the period of health emergencies cannot limit the discussion to the actors' digital skills, the institution infrastructure capacities, administrative regulations, and operation management. The teachers' capacities to tune the communication to emergency contexts of training are crucially important. Therefor the university leadership should be aware of this aspect, as well, to be able to provide the necessary support and tools