If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. If you need to cancel or change a transaction, then you should contact by telephone with the MoneyGram branch agent, made the transaction for you. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. 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. The benefits of money transfers by MoneyGram: sender of of transfer can choose to receive a money transfer currency - U.S. dollars or euros.