What are the main benefits of money transfers by MoneyGram? Availability - MoneyGram payment system services are available everywhere, in more than 186 thousand locations in 190 countries. 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. Since going public two and a half years ago, MoneyGram has made great strides by pouring energy and resources into several critically important areas for business. MoneyGram - is an urgent money transfer by means of wired transfer around the world without opening a bank account.