Cut goat cheese log into 3/4-inch-thick slices. On a sheet of wax paper, mix bread crumbs, thyme, salt and pepper. Press both sides of each cheese patty into mixture. Set aside.
In large salad bowl, toss greens with vinaigrette. Divide the salad among 6 serving plates.
In medium skillet, heat oil over medium heat. Add cheese patties and cook just until cheese begins to melt and spread slightly, about 1 to 2 minutes on each side. Using a spatula, transfer one patty to each dressed salad. Serve immediately.