Thinly slice the eggplant lengthwise by running a peeler through the eggplant while pressing it down as hard as you can. Putting pressure on the peeler will help with cutting even slices that are as thick as possible with a peeler. You can also use a mandoline to slice the eggplant.
Heat a pan with a tablespoon of oil. Place the eggplant slices in a single layer, lightly sprinkle with salt and pepper, and cook briefly over medium heat, 1 or 2 minutes per each side. Transfer to a plate.
Lay an eggplant slice on a flat surface. Place assorted vegetables on top at one end of the eggplant slice and roll up all the way. Repeat until all eggplant slices are used up.