Heat 2 to 3 inches of your chosen oil to 350°F in a deep fryer or a high-sided, heavy-bottomed pan on a burner. When the oil reaches the correct temperature, ease a couple of the empanadas into the oil gently, taking care not to crowd the pan as they need to be able to move around and expand in the hot oil. Fry the empanadas for 3 to 5 minutes, or until golden brown and bubbly on the surface. Use tongs or a slotted spoon to transfer the finished Shepherd's Pie Empanadas to a paper towel lined plate to rest for at least 3 minutes before serving. Repeat the frying process with the remaining Shepherd's Pie Emanadas.