The benefits of money transfers by MoneyGram: no fixup (the recipient may request payment at any MoneyGram agent in the country of receiving). Understanding that being in another country, you may not be fluent in the local language, that's why MoneyGram always tries to talk to you in your native language. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. The Global Funds Transfer segment is the primary segment of MoneyGram, providing money transfer and bill payment services to consumers, who are often unbanked or underbanked.