If you are ever in Tartu, there is a hotel waiting for you right across the street from Alma Mater - Hotel Antonius. Do not miss its luxurious settings and first class service, it is so worth it!
And once your bags are in the room, grab the key, walk out, turn left, walk 50 paces and land at Werner's... Every morsel will take you to culinary heaven but their Napoleon is the closest thing to food-nirvana I have ever experienced... Yumm... :)