"These are fundamentally different matters than the Canadian decision to use their due process and the rule of law to behave in a way that's deeply consistent with the way decent nations work", Pompeo said.
After his meeting with Trudeau, Pompeo will visit the National War Memorial and lay a wreath, before moving on to a series of meetings with Foreign Affairs Minister Chrystia Freeland.
Canada has been seeking the backing of its global allies over the cases of Michael Kovrig and Michael Spavor, who are facing espionage charges. "Canada should release Ms. Meng Wanzhou immediately and ensure her safe return to China, and bring bilateral relations back onto the right track".
Pompeo said that "China needs to honor the commitments it's made to the world, and it's our expectation they'll do so". They want to talk about these two as if they're equivalent, as if they're morally similar.
China's arbitrary detention of the two Canadians was "fundamentally different as a human rights matter, as a rule of law matter" than Meng's extradition case, he added.
Pompeo also said Trump had "made unambiguous, America's concerns" regarding the detentions of Kovrig and Spavor during his meeting with Chinese President Xi Jinping at the G20 meeting in Japan in June - the first time the American side has said publicly that it occurred.
"We have engaged in other diplomatic activity, trying to help make the case for the release of these two", he told a news conference at the end of the talks.
He did not elaborate on any other steps the USA would be willing to take to help free the two Canadians.
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Ms Meng is now living under house arrest in Vancouver, Canada, and is waging a legal battle against extradition to the US. Trudeau says trade is an important topic as the USA and China try to negotiate a deal.
Trudeau in his speech said his government has been working tirelessly to secure their release. China has also stopped importing certain Canadian products like canola and meat.
On the weekend, Freeland and EU foreign policy chief Federica Mogherini issued a joint statement with the European Union in defence of the "fundamental right of assembly" for Hong Kong citizens.
The Chinese regime has effectively told Canada to butt out, and that its internal affairs are none of Canada's business.
"No", America's top diplomat said when asked if Washington might use Meng as a bargaining chip in the USA trade war with China.
The relationship between Canada and China has cooled since the arrest of Ms. Meng in December, and adding to the strain are the ongoing mass protests in Hong Kong, where about 300,000 people hold Canadian citizenship.
Pompeo also said at a news conference that he was "disappointed" that South Korea said Thursday it will terminate an intelligence-sharing deal with Japan that focused on classified information about North Korea.
At that White House meeting, Trudeau and Trump discussed relations with Beijing as well as the detention of Kovrig and Spavor in China.