At the beginning of the XXI century the existence of two trends that characterize current practices and legal regulation of extradition in European countries is attested. First, extradition procedures are becoming more flexible and wider after their scope and traditional extradition limitations based on state sovereignty, such as refusal for political and fiscal acts, gradually lose their importance. Secondly, there is need for a more intense and effective international cooperation requesting simplified procedures for extradition. The influence of these trends can be traced, for example, in the field of judicial cooperation between Member States of the European Union. In this article the author highlights the transformation of extradition procedures in the European Union achieved through the establishment of the European Arrest Warrant, the peculiarities and effects of this process, formulating her own conclusions in this regard.