What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. 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. Using the MoneyGram system, you can easily send money to your relatives and friends in other countries. 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. Thousands of businesses count on MoneyGram for payment services to move money and drive commerce. This is a trust that MoneyGram takes very seriously.