In due time MoneyGram separated from the Western Union and became an independent brand. 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. MoneyGram International, one of the leading companies in the global money transfer market, has announced that its customers in Israel can now send and receive money transfers in Euro. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.