The “conflict-generating capacity” of the modern world causes the need for trained mediators specializing in the productive negotiation technology and conflict management in both real and virtual domains of social relations. As a rule, currently existing mediator training programmes do not consider the intercultural contexts of the conflicts, despite their importance in the volatility and uncertainty of the digital medium. The proposed upgrade of the Master’s programme for future mediators relies upon the polyparadigmatic methodology encompassing the system and constructive, culturological, and situation approaches. Connected to the digital transformation of the society, the employment of the new model of mediators’ training in the Master’s programme of Siberian Federal University is based on the development of a networking partnership between the professional mediators’ associations and the universities of Kazakhstan and Siberia. The article elaborates on the mechanisms of providing electronic support of the Master’s programme intended to expand the teaching efficiency of e-learning in the Master’s training at the Federal University. It also presents the organizational and pedagogical conditions together with the methods of training future mediators by means of the electronic media of the university, social media and open education platforms. It provides the empirical data confirming the efficiency of the Master’s programme electronic support system developed and implemented by the authors. The article also presents the results of a psychological and pedagogical experiment in the assessment of personal qualities and professional competences of the future mediators and the results of the Master’s programme review by practicing mediators and the academic community with regard to the Target Competence Model 2025. With the results of the tests and implementation of the new practice-oriented Master’s programme of SibFU, it is now possible to develop a new culture of social interaction within a digital environment based on cooperation, mutual understanding and dialogue, constructive behaviour in a conflict