The subject matter of this study deals with the provisions of the International Agreement establishing the procedures for the surrender of persons requested for having committed crimes, for the purposes of conducting a criminal prosecution or executing a custodial sentence or detention order, between the European Union on the one hand, and Norway and Iceland on the other hand. Also, within the research’s tenour there were also laid down some critical comments pointing at the need to supplement the provisions of the international instrument for cooperation. The research’s results are materialized in the analysis of the international instrument, the identification of incomplete legal regulations that, in the actual cooperation business will cause breakdowns in advancing some practical proposals for amendments and supplements. The study serves the purpose of theorists and practitioners in this particularly complex area.