The company continues to automate and enhance MoneyGram MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. AgentConnect continues to be an attractive alternative for businesses that choose to integrate their networks and point-of-sale platforms with the MoneyGram wired transfer. The benefits of money transfers by MoneyGram: the opportunity to send a telegram with money transfer (up to 10 words) for free. The benefits of money transfers by MoneyGram: simplicity in making up.