In a large mixing bowl, combine the ground beef, egg, feta cheese, basil, garlic and black pepper. Mix with hands until well blended. Form into equal sized patties. You will get about 14 to 16 smaller patties (about 2 ounces each) or 7 to 8 regular sized patties (about 4 ounces each).
Heat a large skillet over medium-high heat. Spray with non stick spray or coat the pan with a bit of oil. Add the patties and cook 2 to 3 minutes on each side. Remove the patties from the pan and set them aside.
Lower the heat on the pan to about medium. Pour the beef broth into the pan to deglaze the pan. Using a whisk gently scrap all the bits off the bottom of the pan. Add in the Italian Seasoning.
Add the tomato paste to the skillet. Whisk in 1 cup of whipping cream. Mix well until combined. Add in salt and pepper to taste.
Place the patties back in the sauce. Turn the heat to low and simmer the patties in the sauce for 5 to 7 minutes or until the insides are no longer pink.
Serve over your favorite low carb mashed potatoes, zoodles or low carb pasta. Top with chopped fresh parsley or sliced green onions for garnish if desired.