In due time MoneyGram separated from the Western Union and became an independent brand. 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. FormFreeSM phone-based offering allows businesses to reduce labor costs and create an excellent consumer experience by leveraging MoneyGram MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions. The benefits of money transfers by MoneyGram: the transfer is available in the system to obtain within 90 days.