ABSTRACT: This article aims at analyzing (1) if, under Brazilian law, the arbitrator is bound by the binding precedents (decisões e súmulas vinculantes) rendered by the Brazilian Federal Supreme Court to the same extent they are binding in the judicial and administrative spheres; and (2) what are the potential consequences of the violation of such binding precedents in the arbitral award, both domestic and foreign. The study is essentially based on an analysis of (i) the extent, binding force and appliance of the precedents and the case law in the Common Law and Civil Law systems, and, more specifically and recently, in the Brazilian system of laws; (ii) the extent, binding force and appliance of the Brazilian Federal Supreme Court' binding precedents in the judicial and administrative spheres, and (iii) the limits imposed on the domestic and foreign arbitral awards to produce effects within the Brazilian territory.