The company continues to automate and enhance MoneyGram In MoneyGram were added or converted new currencies in an additional 29 countries during the past year, providing consumers with a wide array of currency payout options. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. MoneyGram launched a new in-person bill payment service which will be delivered through agents in their domestic network, giving consumers an easy, low-cost method to pay their bills. Using the MoneyGram system, you can easily send money to your relatives and friends in other countries.