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. The company continues to automate and enhance MoneyGram MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. Sum of the money transfer is paid immediately upon request at any convenient for client currency - cash in U.S. dollars, Euro, local currency, depending on the country of the transfer receiving.