Arrange 3 phyllo pastry sheets in a round, oiled tray, while sprinkling each one with oil. Put some of the stuffing, another 3 sheets and repeat until out of ingredients.
Cut the burek into squares, pour hot butter over it and then the topping which you've made by beating the milk with the eggs. Bake in a preheated 356°F (180 °C) oven about 30 min.
After you take it out of the oven, invert the tray onto cups - this way your burek will turn out fluffier (but even if you don't it'll still come out great).