R. Solomon Nissim b. Abraham Algazi (1610?–c. 1683), the grandson of R. Joseph de Segovia Benveniste, was born in Borsa. He studied under his father and the poet R. Joseph Ganso, as well as R. Joseph Sasson and R. Meir de Boton at their yeshivah in Gallipoli. Algazi settled in Jerusalem in 1635, but was in Smyrna in 1646 - apparently in order to publish some of his works. Here he remained and was considered one of the city's outstanding scholars. He founded a bet midrash whose students included his son-in-law, R. Aaron Lapapa, and R. Hayyim b. Menahem Algazi, later rabbi of Rhodes. R. Algazi opposed Shabbetai Zevi and his followers; together with his son-in-law and other scholars, he excommunicated Shabbetai Zevi and stated that he deserved the death penalty. Compelled to flee and hide outside the city, when Shabbetai Zevi's apostasy became known (1666) he returned to Smyrna and resumed his position. R. Algazi assumed the additional name Nissim on recovering from a serious illness contracted during his travels. He returned to Jerusalem about 1670, and by 1673 was head of the local bet din. R. Algazi achieved a reputation for his saintliness and was reputed as a miracle worker.

עם הסכמות ר' משה יהודא ליב ב"ר קלונימוס הכהן, אמשטרדם, יד תשרי תס"ג; ר' שלמה דיאוליוירה, [אמשטרדם], כד תשרי תס"ג; ר' שלמה אאילייון, אמשטרדם, כה תשרי תס"ג.