In a preheated saute pan over medium-low heat, pan roast the garlic in olive oil, tossing only once. Allow to brown for about 5 to 10 minutes. Drain the cloves through a strainer. Allow to cool before mashing roughly with fork. Add thyme to garlic paste and mash that in as well. When they are pasty but still chunky, mix in the Dijon mustard. Season, to taste, with salt and pepper.
Preheat oven to 450 degrees F. Preheat a grill, or stovetop grill pan, to high.
Pound the salt and pepper into the steaks to cover well. Drizzle steaks on both sides with olive oil. Place meat on grill to brown, about 5 minutes each side.
Remove steaks from grill and place on a large baking sheet. Cover top generously with garlic-mustard coating. Top with large piles of Parmesan, spreading out to edges carefully with fingers. Place steaks in oven for 8 or 9 minutes.
Pull steaks from oven and allow to rest for a few minutes before slicing.