Their daughter Sa'ada was Deputy Attorney General and their son Yadin was an Israel Defense Forces officer who served as first the commander of the HaKirya military base.

One of Frumkin's grandchildren is the Israeli politician, diplomat, and Shin Bet commander Carmi Gillon.

Together with David Ben-Gurion, Yitzhak Ben-Zvi, Moshe Sharett, David Remez, Israel Shochat, and Manya Shochat, who were also studying in Constantinople at that time, he organized an association of Jewish students on behalf of the Ottoman Hebrew Trainees Association.

In 1914 Frumkin began working as an adviser to the Ottoman Admiralty but returned to Palestine with the outbreak of World War I.

Jurists of the ruling Mapai party worked to block the appointment of judges whose political affiliations they opposed.

The committee's findings forced the resignation of Education Minister Zalman Shazar and to the fall of Israel's first government, with early elections called for the Second Knesset.