What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. In due time MoneyGram separated from the Western Union and became an independent brand. 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. The benefits of money transfers by MoneyGram: the opportunity to send a telegram with money transfer (up to 10 words) for free.