Preheat grill to medium-high heat.
Season the beef steaks with salt and pepper.
In a small bowl, combine the olive oil, minced garlic, thyme, salt, and pepper.
Brush the mushroom caps with the olive oil mixture.
Grill the beef steaks and mushroom caps for about 5-7 minutes per side, or until desired doneness.
Remove the steaks and mushrooms from the grill and let them rest for a few minutes.
Slice the steaks and serve them on top of the grilled mushroom caps.
Drizzle with balsamic glaze before serving.