If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. Understanding that being in another country, you may not be fluent in the local language, that's why MoneyGram always tries to talk to you in your native language. FormFreeSM phone-based offering allows businesses to reduce labor costs and create an excellent consumer experience by leveraging MoneyGram Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. The Global Funds Transfer segment is the primary segment of MoneyGram, providing money transfer and bill payment services to consumers, who are often unbanked or underbanked. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.