If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. How to send money via MoneyGram money transfer? To make up a money transfer you should go to the MoneyGram agents and fill the application form for transfer. MoneyGram's consumers and agents expect reliability and safety and that is precisely what MoneyGram continues to deliver, transaction by transaction. Bank services of MoneyGram on money transfer are available only to individuals. The benefits of money transfers by MoneyGram: simplicity in making up.