If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. MoneyGram wired transfer implemented many changes to its technology platforms designed to prevent or detect suspicious transactions. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. In whatever part of the world you are, you can trust your money transfer to the company MoneyGram. The benefits of money transfers by MoneyGram: the transfer is available in the system to obtain within 90 days. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.