Israel's Counter-Terrorism Bureau (CTB) issued the warning and said that there is a concrete terror threat at places frequented by Israelis.
Global Jihad group had teamed up with the Pakistani terror cell responsible for the 2008 Mumbai massacre for a fresh attack, the bureau said.
The Chabad House or Nariman House was one of the targets of the 2008 Mumbai attacks in which 166 people were killed.
Israel strongly advised its citizen in India to avoid those places if they aren"t secured with armed guards.
The bureau also issued a separate advisory against visiting the Kashmir region in the north of the country.