Djokovic will face Jan-Lennard Struff for a spot in the round of 16. The German needed one hour and 40 minutes to move past American Michael Mmoh 6-2, 6-2, 7-5.
He said he was looking forward to battling for his place alongside players such as Paul Pogba, Bruno Fernandes, Nemanja Matic and Fred.
In the second minute after kick-off, Rondon scored the opener with his left foot. Rondon extended the lead for Dalian in the 29th minute, as he assisted Marek Hamsik to slot home.
"The Premier League confirms that it has today terminated its agreements for Premier League coverage in China with its license in that territory, the Premier League will not be commenting further on the matter at this stage," read a statement.
The 28-year-old is now 16th in the overall rankings, 16 seconds behind new leader Yates.
Lurie took charge of the Eagles in 1994, and led the team to its first Super Bowl title in 2017.
In the 48th minute, the Venezuelan striker assisted Swedish winger Sam Larsson to stretch the lead for Dalian.
The 23-year-old, who has previously been linked to interest from Spanish giants, Real Madrid and FC Barcelona, has agreed a contract until June 2025. He will travel to Manchester to join his new teammates after the Netherlands' UEFA Nations League game against Italy on September 7.
Meanwhile United coach Ole Gunnar Solskjaer commented that he was pleased with what the talented playmaker could bring to his team.
The hosts added their third goal when Daniel Sampaio latched onto Marco Antonio's pass to slot home in stoppage time.
The result lifted Flamengo to fifth in the 20-team standings, five points behind leaders Internacional