In this article we aim to explain the main concepts regarding the jurisprudence of the Court of Justice of the European Union related to the operation of the European arrest warrant (EAW). We referred to the exceptions that place in the background the principles of mutual trust and recognition, which diminish the level of judicial cooperation between nations, in criminal matters. We are mainly interested in identifying the perspectives that redefine the area of freedom, security and justice in the light of Brexit, simultaneously with the redefinition of the internal and external borders of the EU.