Final answer:
The Mongols arrived in Kashgar in 1226-27 during the time of Chinggis Khan's leadership.
Step-by-step explanation:
In 1226-27, the Mongols arrived in Kashgar, a city located in present-day Western China. They captured the city as part of their expansion campaign. This event occurred during the time of Chinggis Khan's leadership of the Mongol Empire.