If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. The greatest increases in Millions of people around the world trust MoneyGram, as the wired transfer system provides its customers with a reliable, fast and inexpensive service. 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 International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940.