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. Using the MoneyGram system, you can easily send money to your relatives and friends in other countries. MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions.