MoneyGram wired transfer implemented many changes to its technology platforms designed to prevent or detect suspicious transactions. How to send money via MoneyGram money transfer? To make up a money transfer you should go to the MoneyGram agents and fill the application form for transfer. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. The benefits of money transfers by MoneyGram: simplicity in making up. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.