If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. Very intensive and focused approach has helped MoneyGram to grow business at a rapid pace and establish MoneyGram as a global player in the marketplace. What are the main benefits of money transfers by MoneyGram? Individual flexible service. The recipient has the opportunity to receive money at any MoneyGram office anywhere in the world. MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions.