Tammy Abraham again scored both goals for the hosts to take his tally for the season to four but they were not enough as Sheffield came out fighting in the second half to take a point to Brammal Lane.
Chelsea were gifted the opener on the 19th minute mark after Blades goalkeeper Dean Henderson fumbled a harmless Tammy Abraham header, allowing the English striker to swivel and fire home the loose ball.
Mateo Kovacic threatened a Chelsea second when he run onto Tammy Abraham’s knockdown but the Croatian dragged his shot just wide off the goalkeeper’s right post.
Chris Wilder’s men shot themselves in the foot when defenders Jack O’Connell and John Eghan collided after going for the same ball allowing Abraham to capitalize and finish brilliantly past the goalkeeper in the 43rd minute.
Straight after recess the visitors halved the deficit through Callum Robinson, who sidefooted past Kepa Arrizabalaga following some good work on the left side by Ende Stevens.
Tammy Abraham was denied a hattrick thanks to some brilliant goalkeeping by Dean Henderson, who tipped away the Chelsea striker’s effort in the 58th minute.
The visitors were however the next to get their names on the scoresheet with a minute to go when Kurt Zouma, under pressure from Lys Mousset, diverted a Callum Robinson cross into his own net to give the Blades a share of the spoils.