On Saturday, Tsakhia Elbegdorj, president of Mongolia until 2017 and now head of the World Mongol Federation, promised those fleeing the draft a warm welcome, and bluntly called on Putin to end the war.
"The Buryat Mongols, Tuva Mongols, and Kalmyk Mongols have ... been used as nothing more than cannon fodder," he said in a video message, wearing a ribbon in Ukrainian yellow-and-blue, and referring to three Mongol ethnic groups in Russia.
"Today you are fleeing brutality, cruelty, and likely death. Tomorrow you will start freeing your country from dictatorship."
The mobilisation, and the hasty organisation of so-called referendums on joining Russia in occupied Ukrainian territories this weekend, came hard on the heels of a lightning Ukrainian offensive in the Kharkiv region - Moscow's sharpest reverse of the seven-month-old war.