La Belle Lucie is a pile based game like Cruel or Shamrocks. It has a whole lot of piles (18) and the rules for building on the piles are pretty limited. You have to build the piles down, and by suit. The game would be pretty much impossible if you couldn't shuffle the cards that are still in play. If you click the 'Shuffle' button, all the cards that have not yet been placed into the foundation are picked up, shuffled and redealt into piles of 3 cards each.