The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. MoneyGram International, Inc. - The U.S. financial company engaged in operations in the international financial markets since 1940. 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. In whatever part of the world you are, you can trust your money transfer to the company MoneyGram.