The pair also proposed a face-to-face meeting, which would be the first of Mr Biden's presidency.
The US and Chinese leaders have warned each other over Taiwan during a phone call that lasted more than two hours.
Last week, Mr Biden told reporters "the military thinks it's not a good idea", but his White House has called Chinese rhetoric against any such trip "clearly unhelpful and not necessary". When Mr Biden was US vice-president he hosted Mr Xi during a visit to the US by the Chinese leader in 2015, but they have not met in person during Mr Biden's presidency.
The Biden administration has been considering whether to lift Trump-era tariffs on Chinese imports, arguing that such a move could ease soaring US inflation. But the US president did not discuss that issue with Mr Xi on Thursday, the senior US official said.
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