A small part of the population under Buraq Hajib settled in the Persian province of Kirman, converted to Islam, and established a local dynasty there.
[3] Buraq Hajib is thought to be a member of Qara Khitai dynasty and a son of a Khitan noble Kulduz.
[4] Buraq Hajib and his brother Hamīd Pur (or Khan Temür)[4] Tayangu were detained or captured by Muhammad of Khwarezm in 1210, and were given important posts.
However, he had an argument with Purshah's vizier Tajaddin Karim ash-Sharq and left for India hearing approachment of a Mongol army under command of Tolun Cherbi (step-son of Hoelun).
In 1228 Khwarazm prince Ghiyas-ad-Din Purshah sought refuge in Kirman after incurring the wrath of his brother, Sultan Jalal ad-Din.