Using the MoneyGram system, you can easily send money to your relatives and friends in other countries. MoneyGram offers an efficient, fast and secure way to send money around the world. MoneyGram The benefits of money transfers by MoneyGram: the transfer is available in the system to obtain within 90 days. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.