The two-day meeting is tentatively scheduled for April 6-7, the media outlet Axios reported on Monday, citing officials familiar with the plans.
Reuters has not verified the Axios story and does not vouch for its accuracy. Representatives of the White House and for Xi could not be immediately reached for comment.
The planned summit would follow a string of other recent US-China meetings and conversations seeking to reaffirm ties following months of strong rhetoric from Trump.
Last month, Chinese state councilor Yang Jiechi visited Washington to discuss the two countries’ economic ties and security interests.
Yang, who outranks China’s foreign minister, met separately with Trump, as well as Secretary of State Rex Tillerson.
During his presidential campaign, Trump accused China of unfair trade policies, criticised its island-building in the strategic South China Sea claimed by several countries, and accused it of doing too little to constrain its neighbour, North Korea.
Since taking office on January 20, Trump has written a letter to Xi, seeking “constructive ties” and later speaking with him by phone.
In December, Trump incensed Beijing by taking a phone call from Taiwanese President Tsai Ing-wen and later saying the United States did not have to stick to the so-called “one China” policy.
Under that policy, Washington acknowledges the Chinese position that there is only one China, of which Taiwan is a part. Trump later agreed in a phone call with Xi to honour the policy.