The greatest increases in 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. MoneyGram point-of-sale systems are continually upgraded to provide the latest new products and functionality. Millions of families depend on MoneyGram to safely send money home or pay the bills.