01 - Preheat oven to 400°F and line a baking tray with parchment paper.
02 - In a mixing bowl, blend softened cream cheese, granulated sugar, vanilla extract, and lemon zest until smooth and creamy. Set aside.
03 - In another bowl, combine diced strawberries with granulated sugar, lemon juice, and cornstarch. Stir gently and set aside.
04 - Roll out the puff pastry and cut into 8 even squares. Score a 1/2-inch border around each square, being careful not to cut all the way through.
05 - Place 1 tablespoon of cream cheese filling in the center of each square, spreading gently within the border. Top with 1 tablespoon of strawberry mixture.
06 - Using a pastry brush, coat pastry borders with egg wash made from beaten egg and milk.
07 - Transfer pastries to the prepared baking tray and bake for 18 to 22 minutes, or until pastry is golden brown and puffed.
08 - Remove from oven and cool slightly on a wire rack.
09 - For the glaze, whisk powdered sugar with 2 to 3 teaspoons milk and vanilla extract until smooth. Drizzle over cooled pastries if desired.