If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. The company installed more than 23,000 new MoneyGram signs around the globe, making it easier for consumers to find MoneyGram agents. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. What are the main benefits of money transfers by MoneyGram? Individual flexible service. The recipient has the opportunity to receive money at any MoneyGram office anywhere in the world. MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions.