The article comments upon the decision of the Amsterdam court of appeal under the case YUKOS v. Rosneft, in which Netherlands' court has recognized and enforced the awards of thInternational Commercial Arbitration Court of Moscow, that had been set aside by the Russian courts (including the Supreme Arbitrazh Court) referring to due process violations. The Author analyzes the European practice of New-York Convention on the Recognition and Enforcement of the Arbitral Awards application, displays the peculiarities of the application of the Convention provisions in different jurisdictions, reveals the risks, connected with the different approaches of the European courts and defines the possible ways of the situation development.