Trump says Carney insisting Canada is not for sale will not impact discussions the pair have today.He then adds that "only time will tell" and "never say never".
"We'll see, over time what happens," Trump says.
"Some places are never for sale," Carney hits back Trump.
He says he met with the "owners" of Canada throughout the recent election campaign, adding "it won't be for sale ever".
Canadian PM Mark Carney says Canada is "not for sale" as US President Donald Trump insists the country would benefit from becoming the 51st US state
The US president adds that Canada's opposition to his proposal will not impact today's discussions
Carney was measured in his response to Trump's '51st state' push, writes the BBC's Bernd Debusmann Jr from the White House
Speaking from the Oval Office, Trump says that "we're going to be friends with Canada" regardless of the current row on tariffs
However, Carney refers to "opportunity" within partnership and what the two countries can build together.Carney's response was measured and careful.
"As you know from real estate, there are some places that are never for sale," he said. "We're sitting in one now...it's not for sale. It won't be for sale."
Even as the two moved to swiftly change the subject, Trump sniped: "Never say never."
From the perspective of Canada's government, that was as diplomatic and effective a response as could have been hoped for - and one that was likely discussed and rehearsed over and over ahead of the visit.
Trump says he has a lot of respect for Canadians, adding that members of his mother's family lived there."Canada is a very special place," he says.
He says he stands by his comments to make Canada the US's 51st state.
In response to a reporter's question, he says statehood would mean free military and a massive tax cut for Canadians.
He tsays the US is "protecting" Canada and says the countries would have a "wonderful marriage".
Despite tensions between the US and Canada, the start to this meeting has been nothing if not cordial, with Trump all praise for his Canadian counterpart.
Trump began by repeatedly congratulating Carney of for a "great" electoral race and an "excellent" debate performance.
"We have a lot of things in common," Trump said. "We have some tough, tough points to go over, and that'll be fine."
Carney, for his part, was careful to note that that the two would find areas of "mutual cooperation". So far, so good from the Canadian perspective as Carney walks a fine line.Trump takes over, saying he has a "lot of respect" for Carney.
He says he ran a "really great campaign" and had a "great debate".
"I was going to raise my hand," the US president jokes, but adds that maybe he shouldn't say that as it could hurt Carney.