The paper explores the state of relations between the EU and the EAEU, based on the tools of political science and economics. The author criticizes the parties for the primacy of radical conservatism technologies in relations with each other and unfair competition. The article summarizes objective preconditions for EU–EAEU relationships and common elements of two integration models as well as the problematic elements of the Eurasian integration model that prevent the integration of integrations. The author offers recommendations to the EAEU to improve the internal integration strategy and proposes a transition of EU– EAEU relations to the stage of cooperative competition.