If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. 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? Reliability - the international payment system gives complete assurance that the money will be paid to the recipient. The benefits of money transfers by MoneyGram: the transfer is available in the system to obtain within 90 days.