China's foreign ministry did not immediately respond to a request for comment.
Though they won't play golf, as he did with Japanese Prime Minister Shinzo Abe, Trump wants to use the club to establish a closer relationship with the Chinese President in their first meeting, Efe news reported.
The summit could mark a change of relations between the two presidents. Trump has since reassured President Xi that he will honor the "one China" policy. He has accused China of manipulating its currency to allow its goods to outsell American made products.
Trump's Mar-a-Lago estate is a possible site for the summit, which will be closely watched considering Trump's tough talk on China dating back to the campaign.
Trump is particularly seeking Chinese cooperation on security matters regarding North Korea.
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Both the companies' collaborations are meant to focus on the future that would acceleration servers and memory technologies. But ARM chips are known to be more power-efficient and do come from a wide range of vendors.
Beijing suggested last week that the USA should suspend its joint defense drills with South Korea in exchange for North Korea to halt its missile tests.
Spicer's announcement came hours after reports emerged that Trump would also host the Chinese president at the exclusive resort during his visit next month.
Taiwan would also be high up on the agenda of a meeting between the two presidents.
The White House announced in February that the president did in fact honor the "One China" policy.
The summit is the first face- to-face meeting between the two leaders of the world's biggest economies.