Very intensive and focused approach has helped MoneyGram to grow business at a rapid pace and establish MoneyGram as a global player in the marketplace. MoneyGram's consumers and agents expect reliability and safety and that is precisely what MoneyGram continues to deliver, transaction by transaction. How to receive money via MoneyGram wired transfer? To obtain a money transfer it is necessary know the number of transfer from the sender. 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. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.