A 15th-century Sufi saint and missionary, born in Baghdad to Mufti Fakhruddin, who settled in Bengal and carried out missionary work across the Faridpur and Dhaka regions. Wikipedia primarily dates his death to c. 1480, while other sources cite 913 AH (1507) or 1577. His shrine at Mirpur is a major pilgrimage site with a large annual urs. (Sources: Banglapedia 'Shah Ali Baghdadi (R)'; Wikipedia 'Shah Ali Baghdadi')
