There was a hint that the ball could have brushed Jota's arm, but the goal was allowed to stand and Liverpool now have three wins from their first three games of the season.
All eyes were on Messi after a summer in which he had asked to leave the club and only two days after he had criticized the departure of Luis Suarez, but Fati was the star of the show.
Miguel Angel Russo's men are now four points clear at the top of the Group H standings, with one match remaining before the knockout rounds.
Tang Muhan from Guangdong topped the women's 400m freestyle in 4:07.04, and Ma Yonghui and Zhang Ke, both from Hebei, took second and third places respectively.
Yao Zhenxu, former Vice President of the Chinese Table Tennis Association (CTTA), was appointed Personal Honorary Member of the ITTF for his long-time commitment to international table tennis.
The last eight will fight off relegation, with the last to be relegated and the second to last will vie with the winners of the second-tier league. Enditem
The first game of the day saw Alaves draw 0-0 at home to Getafe in a game that was more entertaining than the scoreline indicates. Both sides had chances to win, but the draw leaves Alaves with just one point from their first three games of the season.
Stage One involves 32 groups of four players, with the player who tops each group progressing to Stage Two.
Elsewhere, Borussia Monchengladbach are still waiting for their first win of the season as they shared the spoils with Union Berlin following a 1-1 draw.
Playing in place of the injured striker Kim Shin-Wook, substitute Bi Jinhao seized the opportunity with a close-range shot in the 25th minute and added a second goal on 41 minutes to ensure Shenhua on course grasping the last spot to race for championship.
The swimmers' performances at the championships will act as an important reference for their qualification for next year's Tokyo Olympic Games. Enditem