The company continues to automate and enhance MoneyGram Last year, MoneyGram business in the CIS and Eastern Europe took priority positions to increase the number of branches in comparison with other regions - were opened new four thousand branches. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. 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.