You can always replay puzzles from your purchased or free puzzle packs. Just go to your My Puzzles section, then tap into whichever pack you like, select the image, and enjoy.

Regarding free daily puzzles, you can only play those as many times as you start them. So if you'd like to play a free daily puzzle multiple times, you'll want to start multiples so that they end up in your puzzles in progress section.

If you have any further questions please reach out to the support team.