Money transfer platform of MoneyGram will be integrated with the mobile platform LinqUs, which will allow customers to make international transfers with a mobile phone. 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.