Despite the two men trading insults for months, the leaders are expected to hold face-to-face talks by May.
Christian Conservative MP Gary Streeter, who is a member of the All-Party Parliamentary Group on North Korea, told Premier that while he is surprised by the potential meeting, he remains cautiously hopeful.
Speaking during Premier's News Hour about his reaction to Mr Trump's decision, he said:" I am surprised but if it triggers some kind of breakthrough for the people of North Korea then of course it would be very welcome indeed."
The new development would put two leaders who have repeatedly insulted, threatened and dismissed each other in the same room, possibly in the North Korean capital of Pyongyang.
It would have been an unthinkable suggestion just a few months ago, when the insults were at their peak.
The North Korean dictator called Mr Trump a "senile dotard", while Mr Kim was labelled a "Little Rocket Man" by the US president.
Meanwhile, the North was firing off regular weapons tests in a dogged march towards its goal of developing a viable nuclear arsenal that can threaten the US mainland.
Mr Streeter told Premier its important Christians begin praying for the leaders before they meet.
"We should as Christians be praying about this meeting. It is important that we pray about big global events and pray for our leaders.
"I think that one of the things that we could pray is that, unusually and perhaps unpredictably, these two men actually strike up a kind of understanding.
"We are all human beings and you tend to have better business, political relationships with people that you actually get on with."
"Let's hope that they do get on and it leads to an open dialogue which reduces tensions in that region and helps us all to sleep more soundly in our beds at night."
If the meeting between the two men takes place, it will be the first time any leaders of the two nations have met face-to-face.
Liberal South Korean President Moon Jae-in, who some believe has manoeuvred the two leaders to this position, reflected the hope and relief many in South Korea feel about the planned summit.
He declared on Friday that it will be a "historical milestone" that will put the denuclearisation of the Korean Peninsula "really on track".
But there is also considerable scepticism as North Korea has made a habit of reaching out after raising fears during previous crises with offers of dialogue meant to win aid and concessions.
Listen to Premier's Eno Adeogun speaking with Christian and Conservative MP Gary Streeter:
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