What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. The company continues to automate and enhance MoneyGram 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. It is very convenient and quick to transfer money without opening accounts and having no payment cards, precisely due to this wired transfer system MoneyGram has become one of the most common worldwide.