The Complete Guide to Cash Rummy Games Rummy's history dates to the early 1800s, and it is thought that the Mexican game of Conquian is where it all began. The foundation for later sattakihgRummy variations, such as the cash-based ones we play today, was established by this game, which involved combining cards into sets & runs. As the game expanded internationally, it saw multiple adaptations, with each culture contributing its own distinct twist. Rummy arrived in the US in the late 1800s and quickly became very popular among card players there.