Lay the eggplant slices on a cutting board. Sprinkle evenly with salt and allow to sit for 20 minutes.
Preheat an indoor grill pan or outdoor barbecue.
Dry the eggplant slices and remove the salt. Brush with an even layer of olive oil, salt and pepper on both sides. Grill the eggplant slices for about 5 minutes per side until cooked with grill marks. Set aside and allow to cool.
To a mixing bowl add the ricotta, basil, Parmesan and nutmeg, mix well.
Preheat oven to 350°F/176°C.
To a 9 x 13-inch (23 x 33 cm) casserole dish, spread a thin layer of marinara sauce to the bottom.
To each eggplant slice, add 6 tablespoons of ricotta mixture to the end closest to you. Roll the ricotta into the eggplant and set in the casserole dish, seam-side down. Repeat with all slices,
Line the rolls in a single layer in the dish. Top with more marinara sauce and grated Parmesan. Bake for 20 minutes uncovered until the cheese is melted.