Earlier on Sunday, Wissam Ben Yedder struck in each half as nine-man Monaco held on to overcome Strasbourg 3-2 at home. Right-back Ruben Aguilar added another for Niko Kovac's side in stoppage time of the first half.
Hamilton had started from pole position and held onto his lead despite the long run to the first braking zone exposing him to attack from Bottas and Red Bull's Max Verstappen.
The defeat again highlights doubts about Manchester City's defense as they were taken apart by Leicester even though Riyad Mahrez put Guardiola's men ahead in just the fourth minute.
The other three swimmers were Yan Zibei from Hubei, Jiangsu's Zhang Yufei, who broke the Asian record of the women's 100m butterfly on Tuesday, and youngster Yang Junxuan from Shandong.
Although the club offered no further explanation, merely stating the injury was "pending evolution," it means that Hazard (who didn't play in Madrid's first two matches of the new season) drops out of the squad to face Valladolid in the Alfredo Di Stefano this Wednesday night and makes him a major doubt for the weekend's away trip to play Levante.
"Once I was in clean air I felt that the pace was pretty awesome and that I could control everything," said Bottas, who also took home the bonus point for fastest lap.
Messi was the center of attention at the start of the game after his attempt to leave the club over the summer and Friday's criticism of the decision to sell Luis Suarez to Atletico Madrid, but Fati was the hero of the game, scoring in the 15th and 19th minute and then winning a penalty to allow Messi to add a third in a thrilling first half performance.
The 41-year-old coach was in charge of Bundesliga outfit Augsburg from December 2016 to April 2019, before coaching Germany's U-20 and U-18 national teams.
Tianjin once had a good chance to break the deadlock in the 56th minute when midfielder Che Shiwei was fouled by defender Cong Zhen in the penalty area. After a VAR check, the referee awarded Tianjin a penalty kick, but Ghana's striker Frank Acheampong failed to convert it to a goal.
Local favourite Kristina Mladenovic was a victim of a missed call in her first round defeat to Laura Siegemund of Germany on Tuesday.
Song, 18, cleared the bar at 5.30m on his second attempt after some setbacks at the heights of 5.00m and 5.15m.