Preheat the oven to 375°F (190°C). Roll out one pie crust on a lightly floured surface and fit it into a 9-inch pie pan. Trim the edges and refrigerate while preparing the filling.
In a large mixing bowl, combine the sliced strawberries with balsamic vinegar, sugar, cornstarch, and vanilla extract. Gently toss to coat all the berries evenly, watching the mixture become syrupy and fragrant.
Pour the berry mixture into the chilled pie crust, spreading it out evenly. The filling will look juicy but will thicken during baking.
Take the second crust and gently lay it over the filled pie, trimming any excess dough and crimping the edges to seal. Cut a few small slits in the top crust to allow steam to escape.
Brush the top crust with a light coat of egg wash (if available) and sprinkle with a little sugar. This adds a golden sheen and extra crunch.
Bake the pie in the preheated oven until the crust is golden brown and crisp, about 40 minutes. Keep an eye on the edges, covering with foil if they brown too quickly.
Remove the pie from the oven and let it cool on a wire rack for at least 2 hours. This allows the filling to set and develop its full flavor and texture.
Slice the pie with a sharp knife, revealing the colorful, juicy filling encased in flaky crust. Serve slightly warm or at room temperature for best flavor.