How to send money via MoneyGram money transfer? To make up a money transfer you should go to the MoneyGram agents and fill the application form for transfer. In MoneyGram were added or converted new currencies in an additional 29 countries during the past year, providing consumers with a wide array of currency payout options. Using the MoneyGram system, you can easily send money to your relatives and friends in other countries. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.