Due to regulatory requirements and consumer demand in Germany and France, MoneyGram opened company stores in both countries. 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. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. 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.