score:2
There is a train station in Khorgas which is at the border and has a border crossing.
This page here has a map with border crossings in the whole region: Border crossings on the Silk Road
Upvote:3
You can take go from Almaty 2 or Astana to ΓrΓΌmqi by using the Kazakhstan Temir Zholy. From there you can probably reach the rest of China by using the China Railways trains.
I generally use rome2rio to find trains in places where public transport is hard to figure out.