If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. How to receive money via MoneyGram wired transfer? To obtain a money transfer it is necessary know the number of transfer from the sender. MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. The benefits of money transfers by MoneyGram: branching of network of the implementation of transfers across the world. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.