Wired money transfer system MoneyGram is no longer new to us. According to statistics, every 4th person knows about it, or at least heard. 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. 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. MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.