The motion was submitted by Syed Naveed Qamar, Imran Laghari, Ghulam Mustafa Shah, Shazia Marri and Aijaz Jakhrani.
The directors general military operations spoke to each other on hotline after a recent spate of firing along the LoC
During the meeting, matters pertaining to ongoing political protests in the federal capital were discussed.
The interior minister made it clear that the apex court's decision would be implemented in true letter and spirit.
PML-N sources said party leadership was holding discussions on the matter.
Sardar Ayaz Sadiq convened the meeting to discuss the resignations submitted by PTI lawmakers.
Meher Bukhari quoted sources as saying that premier Sharif was apprised about the decision of Shabaz's resignation.
Earlier today, firing by Indian BSF personnel along the working border killed two people and injured four others.
The speaker said the resignations would not be accepted in haste and due process would be allowed to take its course.
Sardar Ayaz Sadiq also said that he would not accept the resignation of PTI MNA's in haste.
Hussain said global community believed in the ability of the country's leadership to steer Pakistan towards development
The resolution was tabled by Pakistan Peoples Party Senator Saeed Ghani.
Asif said that all state institutions, including Pakistan Army, have assured the govt of protecting the Constitution.
The session also attended by foreign media representatives was adjourned until 11am tomorrow.
The president agreed that the prevailing political crisis should be resolved through political approaches and dialogue.
Civilian and military leadership attended the meeting to discuss the strategy to defuse the situation in Islamabad.
Red Zone flooded with riot police and paramilitary forces, cordoned off with shipping containers and barbed wire.
Saad Rafique says the govt will soon decide whether to allow entry of the PTI march into Islamabad's Red Zone area.
Foreign Office says India's decision to call off talks is a setback to good relations.
During the meeting, the army chief discussed protests being held in Islamabad with the Punjab CM and interior minister.