If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. 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. Millions of families depend on MoneyGram to safely send money home or pay the bills. The benefits of money transfers by MoneyGram: sender of of transfer can choose to receive a money transfer currency - U.S. dollars or euros.