What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. If you need to cancel or change a transaction, then you should contact by telephone with the MoneyGram branch agent, made the transaction for you. Around the world, MoneyGram is working with leading financial institutions. 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.