By contemporary scholars he was called Mahrimat (Hebrew: מהרימ"ט), and regarded as one of the foremost Talmudists of his time.
Joseph also published novellæ to the treatises Shabbat, Ketubot, and Kiddushin (Sudzilkov, 1802), and the responsa which were embodied in Alfandari's Maggid me-Reshit (Constantinople, 1710).
He left several commentaries in manuscript on Alfasi, on Maimonides' Yad ha-Chazaka, and on R. Nathan's Aruk.
In 2008, Trani's burial site was discovered in Safed Old Jewish Cemetery, near the grave of Rabbi Moshe Alshich.
[1] Although the Maharit died and was buried in Constantinople, his sons later transferred his remains to Safed as he had requested so that he could be interred near his father, Moshe di Trani.