International company MoneyGram has expanded its service capabilities of online money transfers to UK residents. MoneyGram wired transfer implemented many changes to its technology platforms designed to prevent or detect suspicious transactions. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. What are the main benefits of money transfers by MoneyGram? Reliability - the international payment system gives complete assurance that the money will be paid to the recipient.