This article addresses, in general terms, whether it is possible to request the recognition of a set aside award under the New York Convention. It further examines the particularities of the recognition and enforcement of an award annulled by the competent authority of the country in which, or under the law of which, that award was made. The article concludes that the history of the recognition and enforcement of set aside awards is, in fact, the history of the territorial and the a-national conceptions of international arbitration.