Modi also met Moshe's Indian nanny Sandra Samuels, who managed to escape with him from the Nariman House which came under attack by Pakistan-based LeT terrorists.
Netanyahu will cap his hectic schedule by attending the 'Shalom Bollywood' event.
Moshe, 11, was two-year-old when his parents were killed in the Mumbai attacks at Nariman House (also known as Chabad House) by Pakistan-based LeT terrorists.
The Israeli diplomat also underlined that the objective of the attack was to cripple the Indian society, economy and culture, as well as the growing bilateral relationship between India and Israel.
Grandparents of Moshe Holtzberg, who survived the 26/11 carnage at the age of two, talk of how questions by the now 12-year-old boy only add to their grief.
'The Indian and Israeli rabbis were singing a small departure song for brave little Moshe, who had spent many, likely, heartbreaking but bittersweet hours at this home of his babyhood, looking at the drawings his mother had made for him, that were still up in his room.'
On second day of his visit, Modi will also meet Moshe Holtzberg, the Israeli child who as a toddler survived the 26/11 attack.
Five years after his arrest during the 26/11 strike on Mumbai and over a year after he was hanged to death after a much-publicised trial, Lashkar-e-Tayiba terrorist Ajmal Kasab continues to inspire myriad conspiracy theories.
Nine American and Israeli victims of the 2008 Mumbai attacks have demanded a compensation of $688 million (around Rs 4,233 crore) from the Pakistan-based perpetrators of the terror assault, including Jammat-ud-Dawah chief Hafiz Saeed.
In a break from protocol, Netanyahu received Modi at the Ben-Gurion International Airport.
Moshe's laughter rings in the home of the Rosenbergs, his maternal grandparents in Afula, Israel. Abhishek Mande Bhot listens in.