The session would be reopened amid tensions between India and Pakistan, with New Delhi demanding decisive action against militants across the border whom it says were involved in strikes on the financial hub.
The ruling Congress-led coalition is itself under pressure to clamp down on militancy after admitting to security lapses before a three-day rampage by Islamist gunmen that killed 179 people.
"The government is going to focus on Pakistan and foreign policy, in case they are unable to come to any firm conclusion about what is to be done internally," said Swapan Dasgupta, a political analyst with links to the BJP.
A Federal Investigative Agency has been planned by the Indian Government which has been agreed by the BJP in principle but said that wouldn't work without tougher anit-terror laws.
"We want more teeth to this federal investigative agency," BJP spokesman Prakash Javdekar.
"Let the government bring in this law and discuss the draft with us, only then will we be able to give a detailed response."