At a colloquium held to celebrate the 40th anniversary of the 1958 UN Convention on the Recognition and Enforcement of Foreign Arbitral Awards the influence of the Convention, its past and future were reviewed. Professor Adams of Queen Mary, University of London summarises the speakers’ papers. Published in Amicus Curiae - Journal of the Institute of Advanced Legal Studies and its Society for Advanced Legal Studies. The Journal is produced by the Society for Advanced Legal Studies at the Institute of Advanced Legal Studies, University of London.