Contemporaneous evidence isolated in contemporaneous documents such as letters, emails, notes, messages, and minutes of meetings is vital in international arbitration. The Document Production phase seeks to fulfil that demand. The Document Production process is complex. The orthodox arbitral rules and soft law are open to abuse such that a party can participate in the Document Production process but then elect to ignore the Tribunal’s Order on Production; make only selective disclosure; and/or fail to provide documents that patently exist and correspond with other factual exhibits. The Tribunal’s power to make an adverse inference in respect of such behaviours lacks ‘teeth’ and thus raises concerns amongst lay users of international arbitration. This Article advocates a robust strategic re-think of the Tribunal’s powers when its Document Production Orders are blithely ignored. The authors suggest that institutional rules ought to be amended such that ignorance is visited by costs orders and strike out of claims and defences. Further, the 2010 IBA Rules on the Taking of Evidence in International Arbitration ought to be now revised to supplement the adverse inference proposition in Article 9(5) with discretion to strike out relevant claims and defences.