The greatest increases in In due time MoneyGram separated from the Western Union and became an independent brand. Experienced consultants of MoneyGram will help you in execution of documents for payment and you will be pleasantly surprised by the speed of service. 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. MoneyGram point-of-sale systems are continually upgraded to provide the latest new products and functionality.