Going "veg" in Bulgaria

I just came back from 10 days of hiking in the mountains of Bulgaria.  My husband and I opted for going vegetarian on this trip.  One of our Bulgarian guides, Asen (pronounced aw son) was delighted that two of his four guests were vegetarian.  (We didn't bother to tell him that we eat chicken and fish at home.).

We hiked all day -- anywhere from 4 or 5 hours to 8 or 9 hours.  At night we stayed in 4 star hotels and ate in local restaurants.  Asen arranged for us to have his favorite vegetarian dishes at each of the restaurants. 

This one was my favorite.  It is called sasche (pronounced sa shay).  I am not sure I have the spelling correct.  It was served in a shallow crockery bowl in which the ingredients were cooked over an open flame.  It contained potatoes, tomotaes, onions, Bulgarian feta, and a soft-cooked egg.  The cheese and the egg were obviously added at the end of the cooking process.

If anyone is familiar with this dish, let me know the correct name, spelling, and recipe.  Although, even the farmer's market tomatoes in California aren't as tasty as those in Bulgaria, I would like to try to recreate this dish at home.