And the PPP's record of coalition-making is better than that of PML-N, he says.
PML-N officials said he was holding talks with some independent MPs to work out cabinet positions.
Ms. Nawaz would only say that she is content being a "worker" for the PML-N.
PML-N won all 11 parliament seats in Lahore in the 2008 election, which PTI had boycotted.
Another cousin, Omar Ayub Khan, is running with the PML-N for Haripur's seat in national parliament.
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Behind her, a giant PML-N poster showed Mr. Sharif and pictures of striped big cats.
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They say that there have been no new cases of progressive multifocal leukoencephalopathy (PML), the brain disorder.
PML-N under Sharif received a huge public mandate in 1997 and formed a government with two-thirds majority.
PML-N's leaders, it is doubtful they could have produced much of a multitude to greet Mr Sharif.
Similar demands scuppered the talks that came closest to success: between the PML (Q) and the Islamists.
Shahbaz Sharif has consulted his brother, PML-N supremo Nawaz Sharif, ahead of the meeting with the prime minister.
On Monday, Mr Gilani is also due to meet the leader of another major opposition party, the PML-Q.
Pakistan's two largest parties, the Pakistan Muslim League (PML) and the Pakistan People's Party (PPP) are currently leaderless.
PML-Q and its allies have a majority in all but one of the assemblies, his re-election ought to be assured.
While opinion polls predict that Mr. Sharif's PML-N will garner the most seats, it is unlikely to win an outright majority.
Should such predictions roughly hold true, PML-N would likely need to seek the support of coalition partners to form a government.
Biogen Idec and Elan intend to implement a PML safety monitoring system to try to catch early cases, should they occur.
The PML-N administration set itself apart from other provincial governments with initiatives that critics called populist gimmicks but that gained public attention.
In addition, Mr Zardari rightly considers that ousting Mr Musharraf would primarily help the PPP's historic and, no doubt, future rival, PML(N).
PML-N's ambitious election manifesto pledges to double economic growth from the 3% seen in recent years, hugely increase tax revenue and damp inflation.
Diplomats say that a PML-N alliance with PPP, the former ruling party, could be a possibility if Mr. Khan's PTI does particularly well.
Nawaz Sharif's removal from active politics and banishment to Saudi Arabia also led to serious differences emerging within his Pakistan Muslim League (PML) party.
The area has long been dominated by the PML-N, which won all 11 national Parliament seats in Lahore in the last election, in 2008.
There have been other cases, too, of patents taking Tysabri coming down with the rare and usually fatal brain disease called progressive multifocal leukoencephalopathy (PML).
PML(N) do not have the necessary majority in Parliament's upper house.
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PML-Q are said to have asked Mr Sharif for election tickets.
Sharif and the PML-N should be congratulated on winning big, especially with so much hype in Punjab over Imran Khan, the famed politician and cricket star.
As the cheers outside grew louder with every new parliament seat called for PML-N, aides occasionally brought in children who wanted to take snapshots with the politicians.
The PML's Sharif, of course, is also incarcerated, and among other things, faces judgment on additional charges of tax evasion and concealing assets in a few weeks.
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