He also pitched for starting a dialogue with "all stakeholders who are willing to talk" in order to defuse the volatile situation in the state.
It was the first meeting between Abdullah and Modi after the latter assumed office.
The National Conference chief extended complete support to "all effective steps" that the Centre may take to bring relief to the people in the state.
Abdullah also raised the problems faced by the people living along the Line of Control and International Border and said they should be relocated immediately as tension continued to mount.
The former Chief Minister, who has been touring the state of late, said the Prime Minister gave him a patient hearing and was receptive to the suggestions he made.
The former Chief Minister said the National Conference had played the role of a constructive opposition party and would continue to do so.
"We are willing to do anything for the people of the state who have been victims of unrest for over three months now.
"The education sector has suffered. Tourism industry, which is the mainstay of the economy, has been hit badly...I have requested to take into consideration all these factors and make attempts to bring some relief to the people in the state," he said.
As many as 85 people, including two policemen, have been killed and thousands others injured in the unrest in the Valley triggered by the killing of Hizbul Mujahideen militant Burhan Wani on July 8. Around 5,000 security forces personnel have also been injured in clashes.
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