The source said that the U.S. delegation urged Pakistan to help revive the peace process as the U.S. review had entered in a crucial situation.
Previous year after visiting Islamabad, he wrote an article in The Financial Times warned that ignoring Pakistan would be risky.
Foreign Affairs Advisor Sartaj Aziz on Saturday said Pakistan would intensify campaign to highlight "Indian brutalities in Kashmir to draw the attention of the world towards the gravity of the issue", according to Radio Pakistan.
Aziz said Pakistan's Kashmir policy is very clear and there is no change in it.
In order to appease New Delhi, the Trump administration also declared prominent Kashmir leader Syed Salahuddin a global terrorist.
McCain, thanking Aziz on behalf of the delegation that included senators Lindsey Graham, Sheldon Whitehouse, Elizabeth Warren and David Perdue "appreciated the contributions and sacrifices made by Pakistan in the fight against terrorism", the Pakistan Foreign Office said in a statement.
Experts on America's longest war say militant safe havens in Pakistan have allowed Taliban-linked insurgents a place to plot attacks in Afghanistan and regroup after ground offensives.
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He also asked how Afghan Taliban could join the peace process.
"Pakistan reiterated to the U.S. senators that military solution is no option in Afghanistan and as it has been tried in past by the North Atlantic Treaty Organisation and Centcom forces without any success", the official said.
The official source said that the U.S. delegation urged Pakistan and India to resolve all extraordinary issues through talks. An official handout said that welcoming the United States senators, the adviser reiterated the importance of regular high-level contacts and particularly appreciated McCain, Graham and Whitehouse for their continued engagement and regular visits to Pakistan to promote understanding and cooperation.
The adviser told the visitors Pakistan looked forward to a "constructive" engagement with the United States on efforts aimed at promoting a stable and prosperous Afghanistan.
Chairman of the U.S. Senate Armed Services Committee John McCain said on Sunday that Pakistan plays a significant role in the establishment of peace and stability in Afghanistan.
He said that Pakistan was also ready to strengthen and deepen its partnership with the U.S. to counter the new and emerging terrorism threats including the expanding footprint of Da'ish in the region.
He said "India is involved in gross human rights violations in the held territory but it has failed to suppress the voice of Kashmiris through the use of brutal force".