The paper explores practices regarding the implementation by AI of public functions through the analysis of research activities, and administrative and legal regulations of AI in countries of various regions and continents. The hypothesis is that there might be some global trends regarding the AI phenomenon within international institutional vision, research, and national authorities with the goal to suggest common measures within the identification of short, medium, and long-term periods to provide public authorities with trajectories to regulate the AI in terms of its implementation of public functions regarding countries of different regions. The empirical research uses administrative and legal documents, information, and analytical materials from diverse countries. The study uses the comparative method and formal logic tools. The main findings suggest modeling measures within the identification of short, medium, and long-term periods and single out measures that are common to diverse countries, regarding the implementation by AI of public functions.