I really wouldn't steam eggplant then mash it up and add flour and eggs. I think it would be just so much mush.

The way I fry eggplant is to peel it (optional), slice it and season it, dredge in flour, dip in beaten egg, then in dry bread crumbs, then fry in a skillet. It's done when easily pierced with a fork and the bread crumbs are crisp and golden.

OOPS! Guess I was way wrong. I googled eggplant fritters and bunches of references came up. Some were plain llike the above cauliflower recipe, and some had added ingredients like onion, garlic, seasonings, even cubes of mozzarella inside of the eggplant "ball". Check it out - you might find something you really love!

There's lots of recipes for broccoli fritters on google, and probably on lots of the cooking sites, too.