What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. Money transfers can be claimed within 45 days, but if for some reason, this period is exceeded, the processing operator would need additional time to call the main office of the company of MoneyGram for voice authorization. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. Bank services of MoneyGram on money transfer are available only to individuals.