Put cabbage head into the steamer. Secure lid. Select Vegetable, set timer for 10 minutes and press Start. Once timer expires, remove cabbage from steamer and set aside to slightly cool.
While cabbage is steaming, put 1 tablespoon of the olive oil into a medium-sized skillet. Heat over medium-high heat. Once the oil is hot, add the scallions and cook until softened, about 2 minutes. Add rice and cook until transparent, about 2 to 3 minutes. Add ½ cup water, ½ teaspoon of the salt and a pinch of the pepper; stir until the rice has completely absorbed the water, about 4 to 5 minutes. Remove rice mixture from heat and transfer to a medium-sized bowl.
Add dill, ground lamb, lemon juice, remaining olive oil, salt and pepper to the bowl with the rice mixture. Stir to evenly combine.
Stuff the cabbage leaves by first removing one cabbage leaf from the cabbage head. Put it on a clean surface with the ribs facing up. Use a paring knife to remove the leaf’s core by cutting an upside down “V” into the bottom of the leaf.
Put 2 tablespoons of the rice and meat mixture into the center of the leaf. Gently fold up the bottom of the leaf so that it covers half of the mixture. Fold the right part of the leaf inward and over the mixture; repeat with the left side of the leaf. Using your thumb, roll the leaf with the rice and meat mixture upward so that the leaf seals and the seam faces down. Transfer to the tray inside the steamer. Repeat with the remaining leaves and mixture. Secure lid.
Select Manual, set timer for 1 hour and press Start.
Once timer expires, remove the tray with the stuffed cabbage leaves from the steamer and set aside. Pour 1 cup of the hot cooking liquid from the bottom of the cooking pot into a measuring cup. Discard the rest. Return the steamer tray with the stuffed cabbage leaves to the glass cooking pot. Select Keep Warm and press Start.
While the stuffed cabbage leaves keep warm, put the eggs, lemon juice and salt in a double boiler. Whisk until very foamy, slightly thickened and the temperature reaches 160 º F. Slowly whisk in ¼ cup of the reserved cooking liquid and cornstarch mixture; continue whisking and cook until sauce is thickened, about 1 minute. If sauce is too thick, add in the remaining cooking liquid 1 tablespoon at a time until desired consistency is achieved.
Serve sauce immediately spooned over the stuffed cabbage leaves. If desired, garnish
with fresh dill.