A total of 59 bills including the civil nuclear liability and the women's reservation bills have been listed for consideration during the session.
The Civil Liability for Nuclear Damage Bill, 2010, which encountered fierce opposition from BJP and Left in the Lok Sabha during the budget session, was referred to the parliament's standing committee on science and technology.
In case of a nuclear accident, the bill fixes the maximum amount of liability at Rs 500 crore, which would be be paid by the operator of the nuclear plant.
The Women's Reservation Bill, on the other hand, turned controversial when parties like Samajwadi Party, Janata Dal-United (JD-U) and the Rashtriya Janata Dal (RJD) started demanding a quota within quota for backward communities and minorities.
Besides these controversial bills, media predicts that the both houses of the parliament are set to be adjourned on the very first day of the Monsoon Session as BJP is expected to raise a cry over the arrest of Gujarat Home Minister Amit Shah by CBI in connection with the 2005 fake encounter case.
The BJP has been accusing the government of misusing the Central Bureau of Investigation (CBI) ever since Shah's name emerged in the case.
The Prime Minister sought to clear the air ahead of the Parliament session saying that the probe was being supervised by the Supreme Court of India and that the central government had no hand in it.