Money transfers via MoneyGram system can be used as by bank customers, and by people who do not have bank accounts. Technology continues to play a key role in increasing MoneyGram transaction speed, automating and streamlining processes, and creating new functionality. How to send money via MoneyGram money transfer? To make up a money transfer you should go to the MoneyGram agents and fill the application form for transfer. MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions.