"Speaking about the possible meeting between Vice President Wang Qishan and President Trump, I do not have any information about it", Lu said at a briefing.
The news comes amid ongoing US-Chinese talks on trade and economic issues that officially began in Beijing earlier on Monday.
Commenting on the negotiations, Lu expressed hope that the dispute would be settled on the basis of equality and mutual respect.
"According to the consensus reached between the two countries, the Chinese-US trade and economic negotiations have officially started [in Beijing] … The Chinese side sincerely hopes for the settlement of trade tensions between the two countries on the basis of mutual respect and equality", he stressed.
In the meantime US Secretary of Commerce Wilbur Ross also addressed the meeting, emphasizing that the most important part of the negotiations was the question of compliance.
"I think they [the talks] are at the appropriate level," Ross told CNBC. "What will come out of it is the resolution: are we going to go the negotiated route or are we going to go in the original direction of higher tariffs."
Ties between the United States and China remain strained after a series of tit-for-tat import tariffs took place last year.