Money transfers can be claimed within 45 days, but if for some reason, this period is exceeded, the processing operator would need additional time to call the main office of the company of MoneyGram for voice authorization. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. MoneyGram point-of-sale systems are continually upgraded to provide the latest new products and functionality. In whatever part of the world you are, you can trust your money transfer to the company MoneyGram.