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. Money orders and official checks by MoneyGram continue their steady performance and expanded line of bill payment services deliver excellent results. The benefits of money transfers by MoneyGram: high level of data protection and confidentiality of money transfers. 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.