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. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. It is very convenient and quick to transfer money without opening accounts and having no payment cards, precisely due to this wired transfer system MoneyGram has become one of the most common worldwide. MoneyGram point-of-sale systems are continually upgraded to provide the latest new products and functionality.