Prepare the Filling: Combine the ground meat with onion, garlic, carrot, and parsley in a large bowl. Season with salt and pepper, then add soy sauce and sesame oil. Mix thoroughly until all ingredients are well incorporated. The aromatics will infuse the meat as it cooks, creating a flavorful filling with varied textures.
Assemble the Dumplings: Dip a rice paper wrapper in warm water for about 10 seconds until it becomes pliable. Place the wrapper on a flat surface and add approximately 2 tablespoons of filling to the center. Fold the sides inward, then roll tightly from bottom to top, ensuring the filling is completely enclosed. The rice paper will naturally stick to itself, creating a sealed package.
Cook the Dumplings: Heat vegetable oil in a skillet over medium heat. Place the dumplings in the pan without overcrowding and cook for about 2 minutes on each side until golden brown and crispy. The meat inside will cook through while the outside develops a pleasant crunch. If needed, cook in batches to ensure even browning.
Serve and Enjoy: Transfer the cooked dumplings to a paper towel-lined plate to drain excess oil. Arrange on a serving plate and garnish with fresh parsley. Serve immediately while hot and crispy, with dipping sauce if desired.