The complex crimes don’t have lost effect in Italian and Spanish criminal law. Their study remains still necessary and appropriate today. The appearance of diversified hypotheses of complexity attached to evaluative aspects forces us to analyze the structural and concurrent relations of this class of offenses, in such a way that the dogmatic rudiments with which until now have been faced with their application and interpretation are updated. In this sense, it is useful to examine Italian doctrine and case law that has advanced a lot in the line of what has been called here a double trial of normative concurrence in which the institutes of complexity and pluri-offensiveness are finally organized in a logical-systematic order.