Liverpool fought back to draw 1-1 in their Premier League title showdown last night after Chelsea had taken a first-half lead.
Georginio Wijnaldum's header cancelled out Luiz's 30-yard strike, resulting in the Blues' first draw in the top flight since September.
Conte's side increased their lead at the top to nine points, while Liverpool stayed fourth.
Jurgen Klopp spoke with David Luiz after Liverpool and Chelsea's 1-1 draw last night
Jurgen Klopp refused to put blame on Simon Mignolet though for his part in the goal, as the goalkeeper was caught out with the free-kick.
Willian lined up to shoot when referee Mark Clattenburg blew his whistle, but Luiz strode on and buried his strike, which Klopp admitted was expertly taken.
"That was world class from David Luiz we have to say that," Klopp told BT Sport.
David Luiz ran staright to the Chelsea dugout and Antonio Conte after scoring at Liverpool
"You have to say we have to be prepared but he was surprised.
"Even if he was prepared it would have been difficult to save it because it was hit well and right in the corner.
"Two seconds before he scored David Luiz was stood next to me talking to Conte and drinking water on the touchline!"
Jurgen Klopp branded David Luiz's free-kick world class
Chelsea player ratings against Liverpool
Tue, January 31, 2017
Express Sport brings you Chelsea's player ratings from their clash with Liverpool
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Thibaut Courtois – 6.5
Luiz complained after the game about a knee injury that's interrupting his training at Chelsea, but he still managed to find the net from long range at Anfield.
A visit from Arsenal is up next for the Blues, while Liverpool travel to Hull.