Money transfers via MoneyGram system can be used as by bank customers, and by people who do not have bank accounts. Around the world, MoneyGram is working with leading financial institutions. MoneyGram offers an efficient, fast and secure way to send money around the world. MoneyGram What are the main benefits of money transfers by MoneyGram? Reliability - the international payment system gives complete assurance that the money will be paid to the recipient.