In a large mixing bowl, combine ground beef, minced garlic, and grated ginger. Add soy sauce, chili paste, sesame oil, chopped scallions, pinch of salt, and cornstarch. Mix thoroughly.

Take one dumpling wrapper and place a small spoonful of the filling in the center. Wet the edges of the wrapper with water, fold in half to encase the filling, and pinch to seal. Repeat with remaining wrappers.

In a large skillet, heat vegetable oil over medium-high heat until shimmering, about 2-3 minutes. Test the oil by dropping a small piece of wrapper in; it should sizzle.

Carefully add dumplings to the hot skillet, frying for 2-3 minutes until golden brown and crispy. Flip gently and cook all sides until crunchy.

Transfer fried dumplings to a paper towel-lined plate to absorb excess oil. Optionally sprinkle with chopped scallions or chili flakes, and serve hot with dipping sauces.