Withdrawal of Webmoney via MoneyGram allows to get cash within a day. No need to wait a long time to obtain funds, and then also to stand in queues. Everything happens very quickly. 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. Millions of families depend on MoneyGram to safely send money home or pay the bills. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.