If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. 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. If you need to cancel or change a transaction, then you should contact by telephone with the MoneyGram branch agent, made the transaction for you. 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. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc.