International company MoneyGram has expanded its service capabilities of online money transfers to UK residents. 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: simplicity in making up.