The greatest increases in What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. If you need to cancel or change a transaction, then you should contact by telephone with the MoneyGram branch agent, made the transaction for you. Technology continues to play a key role in increasing MoneyGram transaction speed, automating and streamlining processes, and creating new functionality. 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 completed the acquisition of MoneyCard World Express, S.A. (MoneyCard) and Cambios Sol, S.A., two money transfer super-agents located in Spain.