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. The benefits of money transfers by MoneyGram: the payment of transfers is made in cash. The benefits of money transfers by MoneyGram: sender of of transfer can choose to receive a money transfer currency - U.S. dollars or euros.