MoneyGram - an international system of money transfers, which is one of the leaders of the world market and unites 233.000 agent locations in 190 countries. What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. The Global Funds Transfer segment is the primary segment of MoneyGram, providing money transfer and bill payment services to consumers, who are often unbanked or underbanked.