The present article examines problems of personal jurisdiction and of the recognition and enforcement of court judgments and arbitration awards in the Republic of Armenia and in the Russian Federation. The author reviews the relevant international best practices, especially on the European Union level, and the relevant provisions of Armenian and Russian legislation on personal jurisdiction and the enforcement of judgments.Problems of international jurisdiction and enforcement are becoming more apparent due to globalization trends and the increasing involvement in cross-country trade of the two countries that are the focus of this work. Therefore, issues dealing with personal jurisdiction need to be carefully reviewed.A similar review of the applicable international conventions on the recognition and enforcement of arbitration agreements and arbitral awards is made with proper to Armenian and Russian legislation. Being based on the UNCITRAL Model Arbitration Law, Russian legislation poses fewer problems for practitioners than does Armenian legislation. Again, economic developments will force—in this case mostly—Armenia to address problems of the type that are identified in this work with respect to arbitration awards.