The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. MoneyGram wired transfer implemented many changes to its technology platforms designed to prevent or detect suspicious transactions. 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. MoneyGram launched a new in-person bill payment service which will be delivered through agents in their domestic network, giving consumers an easy, low-cost method to pay their bills.