The 14-time grand slam champion, who won the Wimbledon and US Open titles this year, had his run at the French Open stopped by Cecchinato in a shock quarter-final defeat in June.
Zverev endured a tough challenge against Basilashvili on Wednesday but overcame his opponent 7-5, 6-4 to reach the third round of the compulsory ATP event in Shanghai. "Probably the hardest-hitting player I have ever played against". I played a solid match.
Juan Martin Del Potro of Argentina in action during the men's singles final match against Nikoloz Basilashvili of Georgia at the China Open tennis tournament in Beijing, China, 07 October 2018. But I think I played with all my strength in the important moment of the match.
Meanwhile Novak Djokovic earned a revenge win over Italy's Marco Cecchinato to enter the Shanghai Masters quarter-finals with an eventual 6-4 6-0 stroll.
"I would love to feel better", he added.
"We played here previous year and it was the place I got my first ATP win", Tsitsipas said.
World number 5 Alexander Zverev has joined Dominic Thiem on Tour-leading 48 ATP wins in 2018 following a commanding 6-1 6-4 triumph over the fellow youngster Alex de Minaur in 69 minutes, notching his 51st Masters 1000 win and the 20th of the season so far.
On Tuesday, Roger Federer, who was a ball boy once himself, came out and said that players much respect the ball kids and unpaid volunteers because "they are also maybe the future of our game".