The visitors dominated the clash but we went behind three minutes from time when Jorginho fired home from the penalty spot after Scott McTominay had pulled Chelsea substitute Armando Broja to the ground inside the box.
It would have been a harsh result on the Reds, but the drama didn't end there as United fought back to grab a deserved point in injury time. Casemiro got on the end of a Luke Shaw cross from the left, and the Brazilian's superb header crept past Kepa Arrizabalaga - via the post - and just over the line to secure the draw.