Footage of the private concert was posted on social media by Ivanka Trump, and retweeted by the US President.
First Daughter Ivanka Trump’s two oldest children impressed the Chinese premier by singing to him in Mandarin.
The pair sang the traditional Chinese song, Mo Li Hua (or Jasmine Flower), and recited the Three Character Classic.
President Xi Jinping is on a two-day visit to the United States of America on 6-7 April for his first meeting Trump.
Arabella, 5, and Joseph, 3, who are Jewish, are the children of Trump’s daughter Ivanka and Jared Kushner.
“We wanted to make you feel at home”, Ivanka told Xi.
Arabella also recited two poems by Tang dynasty (618-907 AD) poet Li Bai for Xi and Peng, the reports said.
First lady Melania Trump and Peng Liyuan, wife of Chinese president Xi Jinping, left, applaud while listening to an orchestra perform.
With Arabella was her three-year-old brother, Joseph Kushner. Another photograph on Instagram showed Theodore eating a bowl of noodles for his birthday – a tradition that signifies having a long life.
Trump landed about an hour later and greeted Xi at Mar-a-Lago.
Trade might also enter the frame as a negotiating tool with Trump asserting in the Financial Times “I think trade is the incentive”.
Trade and economic discussions will be the focus on Friday morning when the US and Chinese Commerce secretaries sit down for a breakfast, meetings and a working lunch.