International company MoneyGram has expanded its service capabilities of online money transfers to UK residents. Since going public two and a half years ago, MoneyGram has made great strides by pouring energy and resources into several critically important areas for business. At the heart of MoneyGram is trust and reliability of customers. You can quickly send and receive money, as money transfers usually come to the recipient within 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.