Elsewhere, Mainz survived a scare against fourth division club Havelse and booked their berth for the next round.
Leicester City were last season's surprise package with their fifth place finish and the challenge for coach Brendan Rodgers will be to get near repeating that, and to get close he needs Jamie Vardy to keep hammering home the goals.
"Although I'm not an Iranian, I have spent many years in Iran. I know the problems of Iranian football and I believe that the country has very talented players who have football DNA, but they need to change their mentality about tactical football. I think Iranian football needs coaches who increase the motivation of the players to fight," he said.
Xiamen Tefang cruised past Jiangsu Weikeduo 4-1 to move up to fourth, leaving its opponent at the bottom with no wins this season, while fifth-placed Shenzhen Nankeda crushed Anhui Souyu 5-0.
The Red Cross Society of China has fully started its services for the 2022 Beijing Winter Olympic Games. Enditem
So far the only new arrival at Anfield is Kostas Tsimikas, who should provide cover for Andy Robertson at left back, but with plenty of time before the transfer window closes, the club is expected to sign Thiago Alcantara from Bayern Munich to give further options to an already impressive midfield.
Zverev, 23, was in top form in the first set as he displayed an impressive serve and volley game to triumph 6-2 in just 30 minutes.
Luneng were on a three-game winless run before Sunday's game while Evergrande dominated Group A, despite losing to Luneng 1-0 in the first leg, their only defeat this season.
Evergrande doubled the lead in the 69th minute with a stunning free kick from Ai, two minutes after his tap-in was ruled out due to off-side.
Kardec scored Chongqing's second goal in the 83rd minute, contributing an outstanding diving header after collecting mate's corner kick.
Cano restored Vasco's lead by tapping in from close range after his first attempt with a header was parried back into his path by goalkeeper Diego Cavalieri.