MoneyGram - is an urgent money transfer by means of wired transfer around the world without opening a bank account. 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. FormFreeSM phone-based offering allows businesses to reduce labor costs and create an excellent consumer experience by leveraging MoneyGram In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.