Wash the asparagus, trim off the tough ends, and cut into approximately 2 cm pieces. Blanch them in boiling, salted water for 2-3 minutes, then drain and immediately transfer to ice water to preserve their color and crispness.
In a bowl, combine the crumbled feta cheese, sour cream, egg, salt, pepper, and blanched asparagus. This will be the filling for the burek. Tip: Feta is quite salty, so be careful with adding extra salt!
Brush each filo pastry sheet individually with olive oil. Layer 2-3 sheets on top of each other to prevent the pastry from tearing easily. Spread the filling evenly along the length of the pastry, then tightly roll it up.
Place the burek rolls on a baking sheet lined with parchment paper. Brush the tops with a little olive oil or a mixture of sour cream and egg to ensure they turn golden brown during baking. Tip: You can sprinkle sesame seeds on top for added flavor and texture.
Bake in a preheated oven at 400°F (200°C) for 25-30 minutes, or until golden brown and crispy. Avoid opening the oven door too often to prevent the pastry from collapsing.
After baking, let it cool for a few minutes before serving warm. You can serve it with a fresh salad or a yogurt-based dipping sauce.
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