The purpose of this article (Daniel Cookman, LL.M, LL.B, B.A., Principal Owner EVHC Consulting.) is to examine the current system of anti-suit and anti-arbitration injunctions as they pertain to parallel legal proceedings. Parallel proceedings undermine the effectiveness of arbitration agreements. Discourse provides an alternative priority model – based solution, seeking to prevent separate jurisdictional courts from proceeding with independent determinations of the matters of substance. Examination of Irish, English and European case law identifies a uniformity discord. The subject matter herein comprises examinations of antiarbitration injunctions, anti-suit injunctions, and the relevant legal European landscape, providing an overview of national jurisdictions’ approach to matters of competence.