MoneyGram wired transfer implemented many changes to its technology platforms designed to prevent or detect suspicious transactions. In due time MoneyGram separated from the Western Union and became an independent brand. The easiest way to send money via MoneyGram - is to use our website and find the nearest MoneyGram agent location. 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? Cost. Today, it is most advantageous to the customer service of all the similar services. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.