"Secretary Tillerson also conveyed that President Trump is anticipating the two will soon be able to meet face-to-face for discussions that will chart the course for future US-China relations," Toner said following the meeting between State Secretary Rex Tillerson and President Xi.
The spokesperson added that the state secretary and Chinese leader both agreed that there were opportunities for greater cooperation between the two countries.
Earlier, he visited South Korea, where he said, in particular, that the United States' strategic patience with North Korea has ended, and warned that "all options are on the table" in dealing with Pyongyang, including a military intervention.
Seoul and Washington first agreed to deploy THAAD in July 2016. The system is designed to intercept short, medium and intermediate ballistic missiles during the terminal incoming stage.
The move prompted strong criticism from Beijing, which enacted economic policies in protest. China's retaliation resulted in the temporary suspension of tour package sales to South Koreans.
Earlier in March, US media reported that Trump was intending to host Xi at the Mar-a-Lago estate in Florida on April 6-7.
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