If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. Technology continues to play a key role in increasing MoneyGram transaction speed, automating and streamlining processes, and creating new functionality. Money orders and official checks by MoneyGram continue their steady performance and expanded line of bill payment services deliver excellent results. 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. In whatever part of the world you are, you can trust your money transfer to the company MoneyGram.