WASHINGTON, April 3 (Reuters) - The Trump administration

is talking to all major trading partners throughout the world

about ways to bring down President Donald Trump's new tariffs,

Commerce Secretary Howard Lutnick said on Thursday, adding that

they will have to change their rules to allow more imports of

U.S. products.

Lutnick told CNBC television a day after Trump announced a

10% global baseline tariff and steep reciprocal duties that the

discussions had been going on for more than a month.

"The key is, will they take our agricultural products? Will

they treat us fairly? Can they treat us fairly? And the answer

is, over time, that is going to be yes," Lutnick told CNBC

television. "American products are going to be better sold

elsewhere in the world."

Lutnick said that he did not believe that countries would be

able to win exemptions from the tariffs, and it will not be

"effective for the world to retaliate" against the U.S. But the

Trump administration would engage in discussions to find ways to

treat U.S. goods more fairly.

This includes ways to eliminate trade barriers such as

those posed by value-added tax, which Lutnick said acted as

subsidies for exports. He added that at least one trade minister

offered to allow U.S. vehicles to access similar subsidies,

without identifying the country.

"I expect most countries to start to really examine

their trade policy towards the United States of America, and

stop picking on us," Lutnick said. "Stop saying that we can't

sell our corn to India. Stop saying that we can't sell our beef

anywhere."