Hacham Abraham Alkalay, son of Hacham Samuel, was born in Salonika, Greece (c. 1749). He studied Torah with Hacham Yosef Ibn Yais. In 1780, he moved to the city of Dubnica, Bulgaria, where he served as dayyan and teacher. When Hacham Abraham Sid, the city's rabbi, died he was appointed in his stead. In 1810, Hacham Abraham Alkalay immigrated to Israel and settled in the city of Safed.
Hacham Abraham Alkalay passed away on 6 Adar, 5571 (1811) and was buried in Safed. His writings include Zachor LeAvraham – a concise collection of Halachic rulings published in alphabetical order, Chessed LeAvraham – a book of Responsa, and Drushim le'Shabbatot Hashana – a collection of sermons which has remained in manuscript form