He said opposition parties will seek a discussion on the India-China standoff in Dokalam.
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Prime Minister Modi further urged all parties to extend their support to the Government in fighting corruption and the issue of communal violence in the name of cow protection.
The government meanwhile has a series of legislations to be passed in Parliament.
Former PM Atal Bihari Vajpayee
"If the opposition demands a discussion on some current issues, we will discuss the same in the business advisory committee and the chairman will decide the time and date of discussion", Union Minister of State for Parliamentary Affairs Mukhtar Abbas Naqvi told PTI.
Other crucial legislations include the labour code bill, the extension of GST in Jammu and Kashmir bill, the banking resolution bill and 'The Admiralty (Jurisdiction and Settlement of Maritime Claims) Bill, 2017.
"He (Prime Minister Modi) also expressed concern over the flood like situation on the north-eastern part of the country and asked the state to take action to provide relief to the people", he said.
PM Modi, who arrived in the Lok Sabha about five minutes before house proceedings began for the monsoon session, also greeted Congress Vice President Rahul Gandhi and the party's MP Jyotiraditya Scindia. It also paid homage to some of former members of the Houses.
In the subsequent sittings in both Houses, the Opposition is likely to take on the government over lynching incidents and cow vigilantism, Kashmir situation and the border stand-off with China. The Opposition will be attacking the government on implementation of the new Goods and Services Tax (GST) in a haphazard manner triggering shutdown of shops by traders all over the country.
Nitish vetoes Lalu kin as deputy
The alliance has come under severe strain ever since Lalu, his wife Rabri, and his son Tejashwi were booked by the CBI on corruption charges.