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. In MoneyGram were added or converted new currencies in an additional 29 countries during the past year, providing consumers with a wide array of currency payout options. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes.