For the Ragù:
First, initiate the preparation of the ragù, a noble sauce demanding patient, slow cooking. Finely mince the carrot, celery, and onion to compose the aromatic soffritto. In a spacious casserole, gently sauté this trinity in extra virgin olive oil until gilded. Introduce the ground meat, searing it with care and breaking it apart with a wooden spoon until its raw hue yields to golden caramelization. Deglaze the pan with red wine, allowing it to evaporate entirely and leave behind its deep essence. Incorporate the tomato passata, sweet peas, then season with salt and pepper. Stir with devotion, crown with a lid, and let it simmer languidly over low heat for at least an hour and a half, until the ragù translates into a rich, concentrated nectar of flavors. If necessary, nourish it with a splash of warm water during its quiet simmer.

For the Fried Aubergines:
Wash the aubergines, trim their ends, and slice them into rounds of moderate thickness, approximately half a centimeter. Arrange them upon a cutting board and bestow upon them a light dusting of coarse salt. Allow them to rest for about 30 minutes, a necessary purgation to draw out their bitter moisture. This interval completed, gently press and thoroughly dry each slice with kitchen paper. In a deep skillet, heat an abundance of seed oil. Once the oil sighs with heat, fry the aubergine slices in small batches, until they are beautifully gilded and tender. Retrieve them with a skimmer and rest them upon a platter lined with absorbent paper to release any excess oil.

For the Supporting Ingredients:
Boil the eggs until firm, and once cooled, carve them into delicate, thin slices. Dice the caciocavallo, the cooked ham, and the salame into neat, bite-sized treasures.

For the Pasta:
Bring a generous pot of salted water to a spirited boil. Cook the anelletti, draining them strictly al dente—some 3 to 4 minutes before the package mandates—as they will meet their ultimate destiny in the heat of the oven. Drain the anelletti and immediately enrobe them in a lavish portion of the prepared ragù, stirring gently to achieve harmonious unity.

For the Assembly of the Timballo:
Prepare a ring mold (or a classic round springform pan) of about 24-26 cm in diameter. Anoint the mold with a whisper of butter and dust it generously with breadcrumbs, ensuring they cling perfectly to every curve. Line the bottom and walls of the mold with the fried aubergine slices, overlapping them slightly and allowing them to drape gracefully over the rim. Pour a foundation layer of the dressed anelletti into the mold, smoothing it gently with a spoon. Disperse over this a rich mosaic of diced caciocavallo, cooked ham, salame, and the slices of boiled egg. Crown this with another layer of pasta, followed by the remaining savory treasures. Alternate in this elegant cadence until the ingredients are spent, finishing with a final layer of pasta. Fold the decorative aubergine flaps inward, sealing the timballo. Shower the top with a generous dusting of grated Parmigiano Reggiano and, should you desire, a final whisper of breadcrumbs. Consign the timballo to a static oven preheated to 180°C for approximately 30-40 minutes, until the surface is gilded and resplendent with a crisp crust. Once withdrawn from the oven, let the timballo rest undisturbed for at least 10-15 minutes before unmolding. This quiet interlude is essential for the structure to compose itself and achieve a majestic, unbroken form. Place a serving platter atop the mold and, with a confident, gentle motion, invert this culinary work of art.