If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. The company installed more than 23,000 new MoneyGram signs around the globe, making it easier for consumers to find MoneyGram agents. 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. 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.