Rabbi Profiat Duran in the year 5154 authored Sefer Maaseh "Efod" [(see Siftei Yeshenim)]. Acronym of "Amar "Profiat "Duran. And there is a tradition that he converted and then returned in repentance [(Shomer HaDat, letter 51, section 2). But Siftei Yeshenim, letter Bet, near the letter of Rabbi Profiat wrote that Shomer HaDat erred, for Rabbi Profiat wrote to one apostate in the wisdom of Christianity.] Rabbi Moshe and Rabbi Eliyahu, brothers from the Naarim family, and there is a tradition that they are from a distinguished family that Titus exiled to Rome.

And in this generation these brothers came from Rome to Bologna and they were wealthy and did not merit children. And they bought a house and made in it a great synagogue, and they bought a field that has cemeteries in it. And they died and were buried there. And still there is a monument with the memory of the year of their death.

And perhaps this is the author of Sefer Melamed HaTalmidim who signs after his book "I am Moshe bar Rabbi Yehudah ben Rabbi Moshe from the Naarim family" [(Shomer HaDat there), and he did not mention in what time they were]: