Thaw the puff pastry sheets according to the package directions (this takes about 45 minutes).
Unroll the sheet onto a lightly floured work surface, then use a pizza cutter to cut the pastry into 36 small squares (pictured below).
Bake the little squares on a parchment paper lined baking sheet in a preheated oven at 400*F for 12-14 minutes.
Once the pastry squares are baked and cooled, cut each square open (horizontally) to create a top and bottom piece of "bread" like a mini sandwich.
Spread a think layer of basil pesto onto one side of the sandwich, then add a slice of turkey and a slice of cheese (I used provolone). Top with matching pastry square.
Finish the mini sandwiches with a small leaf of fresh basil and a cherry tomato half, add a toothpick to hold it all together.
Notes
Be sure to follow the directions on the puff pastry to properly thaw the sheets before use (this takes about 45 minutes).To save time before serving, you can bake the little pastry squares several hours (or up to 1 day) before making the mini sandwiches.In place of the fresh basil leaf, you could use a small slice of cucumber along with the tomato, on top of the sandwich.