Mr Trudeau’s government has faced criticism over the welcoming message giving “false hope” to the thousands of migrants coming to Canada from the US.
Since the start of the year, more than 11,300 people have crossed the border into Canada from America.
In an apparent backtrack yesterday Mr Trudeau said: “For someone to successfully seek asylum it’s not about economic migration.
“It’s about vulnerability, exposure to torture or death, or being stateless people.
“If they are seeking asylum we’ll evaluate them on the basis of what it is to be a refugee or asylum seeker.”

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But the prime minister has tried to make it clear that people who choose to enter Canada at unmarked locations along the border “will not be at an advantage”.
He said Canadians can continue to have confidence in the country’s immigration system.
MP Michelle Rempel said: “Our system is in shambles, and I think a lot of this has to do with the messaging — the inconsistent messaging — that has been coming out of Justin Trudeau’s personal communication shop.”
The Conservative MP said Trudeau’s approach had given people “false hope” that if they can get to Canada, they will be accepted with open arms.
After Donald Trump issued a ban on people travelling from certain Muslim countries to the US, Mr Trudeau tweeted: “To those fleeing persecution, terror & war, Canadians will welcome you, regardless of your faith. Diversity is our strength #WelcomeToCanada.”
According to Canadian officials, recently around 85 per cent of people who have crossed the border into Canada are Haitians who have been living in the US.
On Wednesday, Mr Trudeau tweeted: “Canada is an open and welcoming society.
“But just as we welcome and encourage newcomers, we are also a country of laws.”
More than 3,100 people walked across the border illegally in July from the US into Canada and were arrested, which is up from 884 in June.