Preheat oven to 425°F. Lightly spray jelly-roll pan with cooking spray.
Place eggplant slices on paper towels and sprinkle lightly with salt. Let sit for about 5 minutes. Pat dry with more paper towels.
Lay the eggplant rounds in a single layer on a prepared pan. Brush with olive oil and season with pepper. Roast for 15 minutes; turn over and brush with oil. Continue roasting for 10 minutes more.
While eggplant is roasting, combine feta, tomatoes, and peppers in a medium bowl. Set aside.
Stack basil leaves, roll them up like a cigar, and slice them into thin strips (a chiffonade).
Place one slice eggplany on a serving platter. Spoon 1 - 2 tabelspoons feta mixture on top. Repeat layers. Finish with a few shreds basil. Repeat with remaining ingredients.
Serve with Braised Carrots.
Recipe Courtesy of Quick & Kosher: Meals in Minutes by Jamie Geller (Feldheim 2010)