He gave no indication whether they made progress on settling an escalating tariff war over Beijing's technology policy.
But Trump described the call between the two leaders as "a long and very good conversation" and said "discussions are moving along nicely".
"I agree, this phone conversation was an extremely positive phone conversation", Lu said at a regular briefing.
Mr Xi said he was "very happy" to talk to Mr Trump again and that he puts "great importance [on] good relations with the president", according to Chinese state media.
The shares of Chinese companies have grown following news that US President Donald Trump is considering making a "great deal" with Beijing and that the Chinese government is considering a support program for private businesses.
The Chinese president was also quoted as saying that he was willing to meet Trump in Argentina during the G-20 summit.
Previous flight of crashed Lion Air jet terrified passengers
In a 2015 interview, Kirana said that "my airline is the worst in the world, but you don't have a choice". On Wednesday, Indonesia's navy said a 22-metre object had been found at a depth of 32 metres.
The two leaders agreed the trade dispute "should be handled properly through substantial consultation", Lu said.
Federal Bureau of Investigation director Christopher Wray said the US has filed a civil lawsuit seeking to prevent the two indicted companies, Taiwan-based United Microelectronics Corp. and China's state-owned Fujian Jinhua Integrated Circuit, from exporting any products created using USA trade secrets and blocking the further transfer of trade secrets.
Chinese tech stocks traded in the USA are surging across the board. "And let's see what happens", Trump said at a White House event.
However, a senior Trump administration official on dismissed the report as untrue, a CNBC reporter said in a post on Twitter.
Earlier this year, the Trump administration imposed tariffs on $250 billion worth of Chinese goods, prompting Beijing to retaliate.
"We do hope that China and the United States will meet each other halfway and work together in the spirit of mutual respect and equality", Li told Trump's fellow Republicans.
Tennessee Senator Lamar Alexander told Li that the delegation was there "to show our respect to a great country and a great people".
'We're going way up, and China has been hurt over the last number of months. "We have a new deal", he said adding that the USA is now negotiating with the European Union, which "has absolutely hurt" the United States.