If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. AgentConnect allows MoneyGram agents to integrate the money transfer service with their internal security and training processes. 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. At the heart of MoneyGram is trust and reliability of customers. You can quickly send and receive money, as money transfers usually come to the recipient within 10 minutes.