Earlier, Nawaz Sharif was scheduled to fly to London on Thursday to inquire about his wife, Begum Kulsoom, who is undergoing treatment for cancer at a private hospital in the United Kingdom.
The general council of the Pakistan Muslim League-Nawaz will hold intra-party election on Tuesday, where the party leaders will most likely elect disqualified parliamentarian Nawaz Sharif as president.
The bill had already been passed by the NA and the Senate - the upper house of the Parliament - but was returned to the lower house for fresh votes on the Senate's amendments.
Earlier this year, Pakistan's High Court ordered Nawaz Sharif to step down from office because he had not reported monthly earnings he received from an overseas company owned by his son.
Back in July, a five-judge Supreme Court bench had disqualified former prime minister Nawaz Sharif in the Panamagate case, thus cutting short his third stint in power.
The party's state minister for interior, Talal Chaudhry, said a parliamentary meeting of the ruling party chaired by Abbasi had nominated Sharif as its leader.
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Nawaz had appeared before the Accountability Court on Monday after being summoned in connection with three graft cases prepared by the National Accountability Bureau (NAB) against him and his family in the Panama Papers case.
Pakistan Peoples Party, Jamaat-i-Islami and Awami Muslim League also opposed the bill, which was introduced by Law Minister Zahid Hamid.
According to Nawaz Sharif's lawyer, Mohsin Ranjha, the court has been assured that Maryam Nawaz and her husband will appear in court during the next hearing.
"It had initially been decided that the media would be allowed to witness the interrogation of Sharif, but, as the daily reports, "...no one - including senior PML-N leadership - was allowed to set foot in the court before the former prime minister entered it".
Besides Nawaz, his children Hussain, Hassan and Maryam, and son-in-law Mohammad Safdar, are also accused of corruption.