Trump in March vowed to impose about $50 billion of United States tariffs on Chinese imports, prompting China to retaliate with tariffs on about $3 billion of U.S. imports.
Apple CEO Tim Cook attends the White House State Dinner with Lisa Jackson, Apple's VP of the Environment.
White House spokeswoman Sarah Sanders said on Wednesday afternoon that the meeting was under way, and that "the primary focus" was to discuss trade.
U.S. and Chinese officials have been working to resolve the feud between the world's two largest economies.
A White House oficial said Cook also met on Wednesday with the director of the White House National Economic Council, Larry Kudlow.
Cook and the rest of the tech industry have pushed for a more open trade relationship with China.
And on Tuesday night, at Trump's first state dinner, Cook was accompanied by Lisa Jackson, an Apple executive who led the Environmental Protection Agency during much of the Obama administration.
Trade hasn't been the only point of contention the Apple CEO has had with the Trump administration.
Treasury Secretary Steven Mnuchin and his wife, Scottish-born actress Louise Linton, arrive in the Booksellers Area of the White House to attend a state dinner honoring France's President Emmanuel Macron.
Trump holds Murdoch in high esteem, frequently calling him for advice despite his criticism of the president on issues like illegal immigration. He was also among business leaders who criticised Trump after the president cast equal blame on white nationalists and anti-racism activists for violence past year in Charlottesville, Virginia.