Heat oil in a large frying pan over medium heat. Add the garlic and cook for 2-3 minutes or until fragrant.
Add the sliced mushrooms and thyme leaves to the pan and cook, stirring for 7-8 minutes or until the mushrooms are tender.
Add the balsamic vinegar reduction and 1-2 tablespoons of water to the pan. Stir to combine then reduce heat to low and simmer for 3-4 minutes or until the liquid has evaporated. Season to taste with salt and pepper.
Arrange the balsamic mushrooms in a serving bowl and top with goats cheese and a sprinkle of additional thyme leaves.
Serve as a side dish to grilled or roasted meats or vegetables, or as a topping on toasted bread.
4 servings