International company MoneyGram has expanded its service capabilities of online money transfers to UK residents. 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. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.