MoneyGram's consumers and agents expect reliability and safety and that is precisely what MoneyGram continues to deliver, transaction by transaction. How to receive money via MoneyGram wired transfer? To obtain a money transfer it is necessary know the number of transfer from the sender. 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. Millions of families depend on MoneyGram to safely send money home or pay the bills.