After a cursory reading on Wikipedia, it seems like meat wrapped in dough and baked or fried began with the sanbusaq in Iran/Central Asia and spread throughout the world as the samosa, samsa, curry puff, empanada, calzone, pirozhki etc.
China had a lot of historical exchange with Persia, but I haven't found anything about some descendant of the sanbusaq being historically present in China (or east Asia in general for that matter). I read that uyghur kao baozi 烤包子 are a direct descendant, but I haven't found any related han dishes. Perhaps some kind of shaobing 燒餅 is considered a descent of sanbusaq?
While an answer I provided a couple days ago doesn't fully address your question it is somewhat related, you might find it interesting. I'm unavaliable to do further research at the moment, however there are food items such as the 牛肉饼, if you look at the history section of the Baidu article there's something things about how it originated in the Tang Dynasty, which we know to be one of the most culturally diverse states of China that heavily interacted with Persia and Central Asia.