The occasion marks the third time the two world leaders have met since the premier assumed office in July 2018.
According to PTV, the meeting took place "in a highly cordial atmosphere". Trump told the media the two would talk about the situation in Kashmir. He also called PM Imran "his friend" and expressed his pleasure over meeting him once more.
"We're talking about Kashmir [...] if we can help, we certainly will be helping. We've been watching that and following it very, very closely," said Trump.
The premier, in turn, said: "Mr President, it is good to see you again. Yes, there are issues we want to talk about. The main issue is Afghanistan because it concerns the US and Pakistan.
"Fortunately we are on the same page. Both of us are interested in peace there and an orderly transition in Afghanistan with talks with Taliban and the government."
He said it is always hoped the US will take part in resolving the issue, "because no other country can".
The meeting comes against the backdrop of Foreign Minister Shah Mehmood Qureshi's trip to the United States, where he met with his counterpart to defuse regional tensions.
The premier left for Davos early on Tuesday to attend the annual meeting. He is accompanied by Foreign Minister Shah Mahmood Qureshi, Adviser on Commerce Abdul Razaq Dawood, Special Assistant on National Security Mooed Yusuf and Special Assistant on Overseas Pakistanis Zulfiqar Abbas Bukhari, while Adviser on Finance Dr Abdul Hafeez Sheikh and Ambassador at large for Investments Ali Jehangir Siddiqui will join the delegation in Davos.
The prime minister will deliver a keynote address at the WEF special session and also interact with corporate leaders at the Pakistan Strategy Dialogue.
On the sidelines, Prime Minister Imran will hold bilateral meetings with several world leaders, the most significant of which will be his meeting with US President Donald Trump.
The premier will also hold meetings with a wide range of corporate, technology, finance and business representatives of international financial institutions, Radio Pakistan added.
In addition, he will address senior international media persons and editors during a session with WEF’s International Media Council, say official sources.
This year marks the 50th anniversary of the forum where political leaders, business executives, heads of international organisations and civil society representatives will "deliberate on contemporary economic, geopolitical, social and environmental issues."
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