The greatest increases in Around the world, MoneyGram is working with leading financial institutions. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. MoneyGram What are the main benefits of money transfers by MoneyGram? Cost. Today, it is most advantageous to the customer service of all the similar services. MoneyGram point-of-sale systems are continually upgraded to provide the latest new products and functionality.