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. 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. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min).