If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. After the correction of tariffs, volumes of MoneyGram transfers increased by 30%. 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. MoneyGram - is an urgent money transfer by means of wired transfer around the world without opening a bank account. MoneyGram launched a new in-person bill payment service which will be delivered through agents in their domestic network, giving consumers an easy, low-cost method to pay their bills. 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. 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.