Alisson Becker, Joel Matip and Roberto Firmino missed out after testing positive for Covid-19, whereas Chelsea dropped Romelu Lukaku over his recent interview about the club and manager.
However, the Reds were not bothered by those absentees and took the lead on nine minutes when Sadio Mane pounced on a defensive error by Trevor Chalobah to fire home.
Chelsea pushed for a swift response minutes later and almost had it from a first-time attempt by Marcos Alonso, but the Spaniard international went over.
The Reds then went on and doubled their lead four minutes to the half-hour mark after Mohamed Salah shifted in from the right to beat goalkeeper Edouard Mendy with a near post finish.
This blistering spell urged the Blues on and with four minutes to halftime they got a goal back after Mateo Kovacic leaned back to volley in off the post following a free-kick.
With the break on the horizon, the host levelled when Christian Pulisic ran in behind to go and fire in from point-blank range off a ball into space by N’Golo Kante.
The quick tempo that marred the first half continued after the restart, as Alonso fired over from a cutback into the area and Diogo Jota volleying across the face of goal from a tight angle.
Although, Liverpool eagerly looked to regain their lead ten minutes from the break with two telling attempts from Salah and Mane which Mendy parried emphatically well.
Chelsea looked to balance the tempo of play moments apart through the substitutions of Jorginho for Chalobah and Callum Hudson-Odoi in for Kai Havertz.
Though with a few promising opportunities on either side in the closing minutes of the second half, the match finished all square in the end as neither side were able make up ground on league leaders Manchester City.