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.