Mediterranean eats and libations go upscale at this classy Design District eatery.. In Short Leave it to the booming Design District to create faraway experiences in contained spaces. You'll pad yourself looking for your passport as you step into Brosia's world. Mahogany and antiquated mirrors wrap around the dining room. An inviting courtyard is surrounded by 150-year-old white oak trees. The Mediterranean menu offers taste bud ticklers like lamb skewers and seared salmon. Ethnic treats like vanilla-roasted figs and baklava await those who don't ask if they can pay in dollars.