Prime Minister Mark Carney says he is “not interested” in a making a narrow trade deal that does not address all of Donald Trump’s major tariffs on Canada, drawing a line in the sand amid negotiations over the U.S. President’s trade war.

Speaking at an aluminum plant in Saguenay, Que. on Thursday, Mr. Carney said he hoped there would be a “pathway” to a wide-ranging trade deal before Mr. Trump’s latest set of threatened tariffs is scheduled to take effect this month.

He dismissed the idea of making individual sector-by-sector deals.

“We’re not interested in a very targeted deal without connections to other sectors,” he said in French, adding in English: “We’re interested in a more comprehensive deal, more global deal.”

The pact, he said, must address autos, steel, aluminum, and forest products, all of which are subject to punishing U.S. tariffs. “Will we get all that by the 19th of August? We’ll see. But we want to have pathways in order to get that,” the Prime Minister said.

The Globe and Mail reported this week that there has been progress on steel and aluminum, but less discussion on autos.

Last month, Mr. Trump rolled out another suite of tariffs, which would hit US$20-billion worth of Canadian goods, from electronic equipment to dairy products to alcohol. Those 50-per-cent levies are currently set to come into force on Aug. 19.

Intergovernmental Affairs Minister Dominic LeBlanc and Janice Charette, Canada’s chief trade negotiators, met with U.S. Trade Representative Jamieson Greer at his Washington offices on Thursday afternoon.

Asked whether a deal was possible by Aug. 19, Mr. LeBlanc replied: “I hope so,” as he arrived for the sit-down.

Mr. Greer has said that he wants Canada to satisfy U.S. demands on a host of bilateral trade issues — including more access to the Canadian dairy market and Canadian retaliation against Mr. Trump’s tariffs by pulling U.S. alcohol off liquor store shelves — before getting into larger structural issues on auto sector content requirements.

Such a sequencing is difficult for Canada, however, as getting punitive tariffs on autos, steel and aluminum lifted is Ottawa’s top priority in talks.

Mr. Carney also pushed back Thursday on Mr. Trump’s repeated insistence that the U.S. does not need anything from Canada.

“There are many things that the Americans want from Canada. They say they don’t want them, but they do want them. It’s energy, it’s potash, it’s critical minerals, it’s aluminum,” he said.

The Prime Minister downplayed Mr. Trump’s assertion this week that Canada has “nasty leadership,” saying that it is “easy to talk with Mr. Trump” and that the pair are in direct contact.

“Yes, it’s a tough negotiation, you can change the adjective and say ‘nasty,’” he said.

During a speech at a Las Vegas casino on Wednesday, Mr. Trump said Canada and other countries have “screwed” the U.S. on trade, before describing Canada as “nasty” five times.