Victory takes Liverpool level on points with Everton, Arsenal and Crystal Palace at the top of the table.
Amadou Haidara scored the third goal for RB Leipzig, who defeated Mainz 3-1 in the Bundesliga.
Timo Werner marked his Premier League debut by winning a penalty, but the Germany star took a whack on his leg as he was tripped by Brighton keeper in the incident.
Chelsea manager Frank Lampard has splashed out on a host of new signings and the early returns on his lavish investment were promising.
After a series of lucrative signings, Chelsea will begin their Premier League campaign away at Brighton on Tuesday.
Chelsea have brought plenty of fresh faces for the upcoming Premier League season and Frank Lampard believes that this puts more pressure on his team.
Jose Luis Gaya's late goal gave Spain a 1-1 draw away in Germany on Thursday as the start of the UEFA Nations League marked the return of international football in Europe.
As many as 2,500 supporters witnessed the pre-season friendly match between Chelsea and Brighton that ended in a 1-1 draw.
Timo Werner said his conversation with Chelsea manager Frank Lampard convinced him to choose The Blues over Liverpool.
Chelsea can cap an encouraging first season in charge for Frank Lampard if they beat Arsenal in the FA Cup final at Wembley on Saturday.
The coronavirus outbreak, which put the Premier League on hold for three months, is likely to have a significant impact on the football transfer market.
Chelsea manager Frank Lampard believes Timo Werner's decision to join the club next season is an exciting sign of where the Blues are headed.
Chelsea have secured the services of one of Europe's most coveted players with club director Marina Granovskaia hailing Timo Werner's "rare mix of being young and exciting and yet established and proven".
Chelsea are on course for a return to the Champions League next season as they hold a three-point lead over fifth-placed Manchester United with nine games of the Premier League season to go.
Earning the nickname 'Turbo Timo' because of his electric pace, which he attributes to running up mountains with his father as a child, Werner has been clocked at 11.1 seconds over 100 metres.
RB Leipzig's sporting director Oliver Mintzlaff said that the German side had not received a "transfer contract" from any club.
Timo Werner had been thought to to be attracting interest from Liverpool but it appears Chelsea have in fact met the German's reported release clause.
Jhon Cordoba claimed the early advantage for the home side but RB Leipzig scored four in 37 minutes, including Timo Werner's 31st goal in all competitions.