Step 1- Thaw the Pastry
Thaw the puff pastry sheets at room temperature for 1 hour.
Step 2- Prep the Wash
In a small bowl, mix the aquafaba or plant milk with water. Set aside.
Step 3- Shape the Tart Shells
Unfold the pastry sheets on a lightly floured surface and roll gently to flatten the creases, aiming for a 10-inch square. Cut 1/2-inch strips from all 4 sides of each sheet.
Step 4- Build the Raised Edges
Brush the edges of the pastry sheets with the wash. Place the cut strips on top of and along the edges, gently pressing to form a raised border. Trim the ends as needed.
Step 5- Prep for Baking
Place the pastries on 2 parchment-lined baking sheets. Brush with more wash and prick the centers with a fork. Sprinkle with vegan parmesan.
Step 6- Bake
Bake one sheet at a time in a 425°F oven for 15 to 20 minutes, or until puffed and golden brown. Cool on the baking sheets set on wire racks.
Step 7- Make the Herbed Cheese Filling
In a small bowl, stir together the plant-based goat cheese, garlic, and thyme. Spread this mixture over the bottom of the cooled tart shells.
Step 8- Top with Tomatoes
Arrange the tomato slices on top of the cheese layer, overlapping slightly. Drizzle with olive oil, then sprinkle with basil and coarse salt if desired.
Step 9- Slice and Serve
Slide onto a cutting board or serving platter and cut each tart into serving-size pieces.