When I was in Taiwan, there were tons of beef noodle soup places and the award winning ones were at the Taipei train station.
Since the new 99 Ranch Market has opened in the neighborhood, there are a couple of food court places outside of the main market area but still in the building. One has beef noodle soup with handmade noodles.
There are a few places to sit and eat and it was great. A little too much for one meal so leftovers for the next day.