Ben-Avraham was born in Palma de Mallorca, on the island of Majorca, Spain. His given name at birth was Nicolau Aguiló. After learning from his mother that their Catholic family had Jewish ancestry, Ben-Avraham began attending the small conservative synagogue in Palma. He travelled to Israel to learn more about Jewish history and Judaism, and converted to Judaism in 1978 under the auspices of the Israeli Chief Rabbinate. He then studied at the Mercaz HaRav and Ateret Cohanim yeshivas.
In 2010, he returned to Spain as an emissary of Shavei Israel, an NGO that reaches out to the descendants of Jews. He will spend time in the communities of Barcelona, Palma de Mallorca, and Seville, teaching Torah, Jewish culture and tradition.
- "First ex-Marrano Israeli rabbi returns to Spain as emissary". Jerusalem Post. Feb 8, 2010.
- Spain gets rabbi with Marrano roots for first time since Inquisition , Haaretz, Feb. 14, 2010