Background: Trump and Xi are expected to meet at the G-20 summit on either November 30 or December 1.
Facts show that the sound and stable growth of bilateral relations serves the fundamental interests of the people from China and the USA, he said. Xi said later to be willing to meet Trump.
Thursday's meeting was the first telephone conversation between the leaders in six months of which is openly reported.
Just after the upbeat readouts of the Trump-Xi call, the Justice Department announced the latest in a long list of actions against what Trump administration calls China's cheating through intellectual property theft, unfair corporate subsidies and rules hampering USA corporations in China.
Pompeo's comments were the latest slur to come out of Washington, which has accused Beijing of meddling in United States politics, conducting cyber espionage against aviation firms and hacking Trump's iPhone.
President Xi Jinping has promised tax cuts and other help to China's entrepreneurs in a renewed effort to revive growth in a cooling, state-dominated economy amid a mounting tariff battle with Washington.
"Those discussions are moving along nicely", Trump wrote on Twitter after speaking with Xi, five days before U.S. midterm elections that will determine whether his party retains control of Congress.
His critics say Trump also gave away too much to North Korean leader Kim Jong Un in negotiations over Pyongyang's nuclear weapons program, with little to show in exchange, and was too conciliatory toward Russian President Vladimir Putin at their summit in Helsinki.
Washington and Beijing have been locked in a trade war since July, slapping tariffs of up to 25 per cent on imports of each other's products.
Meeting a group of Republican senators and one congresswoman in Beijing, Li said that over the past four decades of diplomatic ties, the China-U.S. relationship has had its "share of ups and downs".
Li's remarks came as he met with a seven-member delegation of USA senators and congressmen led by Senator Lamar Alexander in Beijing. While he said the delegation wished to discuss trade, he offered no specifics in opening remarks before reporters were ushered from the room.