Qi constantly kept driving to the basket and drawing fouls late in the third quarter. Beijing's 40-point margin heading into the final frame was irreversible for Daqing.
Madrid boss Zinedine Zidane, who has to work out what his most effective line up without the injured Eden Hazard is, could start with Wednesday's goal scorer, Vinicius Jr alongside Karim Benzema and Marco Asensio.
Alba had to limp off in the 74th minute and was replaced by new signing Sergino Dest, who played on the left of the Barca defense, despite being right-footed.
But the 33-year-old soon after committed a serious foul on Leo Dubois, for which referee Stephanie Frappart initially showed a yellow card but changed it to a red after a VAR review.
Only four minutes later, Leipzig established a two-goal lead after Christopher Nkunku's cross into the penalty area found Angelino, who made no mistake to get his name on the scoresheet.
Next up for Halep is another 19-year-old youngster, Iga Swiatek of Poland, whom Halep defeated in the round of 16 here last year.
The 2018 champion lost to Anisimova in the quarterfinals in Paris last year, but this time the Romanian needed only 54 minutes to complete a convincing victory.
Barca issued a communique shortly after the final whistle confirming Alba had "problems in his right hamstring," adding that he would undergo tests on Monday to discover the full extent of the injury.
"It's always exciting to play a qualifying round," said Suarez, who joined Atletico Madrid from their La Liga rivals Barcelona last month.
Cadiz and Granada shared the points in an Andalusian derby which began with German Sanchez's header for the visitors in the 27th minute before Ivan Alejo's driven shot assured Cadiz its first home point of the season three minutes after halftime.
"Players executed well even though we pulled away. I'm satisfied with their fighting spirit. But we have to improve on some details on both ends," Beijing coach Zhang Yunsong explained.