It is possible to for two players to play a version of Classic Canasta. The modifications to the rules are as Introduction · General Terminology · Classic Canasta · Modern American Canasta. Canasta, a game of the Rummy family was the most popular American game in the . To meet the minimum, a player may make two or more different melds. These are the Canasta rules as defined by "Hoyle's Rules of Games". A player can only finish a hand when he has at least one or two canastas, depending on.