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. MoneyGram offers an efficient, fast and secure way to send money around the world. Last year, MoneyGram business in the CIS and Eastern Europe took priority positions to increase the number of branches in comparison with other regions - were opened new four thousand branches. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.