Preheat your oven to 425 degrees F. Line a baking sheet with parchment paper to prevent sticking and make cleanup easier.
Unroll the frozen puff pastry sheets and cut each one into six rectangles. This will give you the perfect size for individual tarts.
Spread about 1 teaspoon of fig preserves on each pastry rectangle, leaving about a 1/4 inch border. This sweet layer will provide moisture and flavor.
Sprinkle the shredded Kaltbach Le Cremeux cheese evenly over the fig preserves. You want each tart to be well-covered with cheese for that creamy goodness.
Chop the fresh basil and sprinkle it over the cheese. The basil will add an aromatic freshness that balances the sweetness of the peaches.
Slice the peaches and arrange them on top of the cheese and basil. Press the peach slices gently into the cheese to help them stick during baking.
Drizzle a little bit of extra virgin olive oil over the top of each tart, and season with flaky salt and freshly crushed black pepper to taste. This will elevate the flavors of the ingredients.
Carefully fold the edges of the puff pastry inward to enclose the filling. This will create a beautiful border around your tarts.
Brush the edges of the pastry with the beaten egg. This will give the tarts a lovely golden color once baked.
Transfer the tarts to the preheated oven and bake for 15 to 20 minutes, or until the pastry is golden brown and the cheese has melted.
Once baked, remove the tarts from the oven and drizzle some honey over the top along with freshly chopped thyme leaves. This step adds a sweet finishing touch.
Serve the tarts warm and enjoy the delightful balance of flavors!