Born in Yemen Vilayet in the Ottoman Empire, Glosca emigrated to Ottoman-controlled Palestine in 1909.

His family settled in the Tel Aviv neighbourhood of Neve Tzedek, and he studied in a heder.

He worked as an emissary for the Yemenite Association in Egypt and the United States.

In the 1951 elections Shimon Garidi took over as head of the list, and Glosca lost his seat.

He died in Montreal on 19 September 1960 while visiting Canada to raise money for the absorption of Yemenite immigrants.