Chelsea’s awful record reached five league games without a victory, but they were thankful that captain Reece James saved them a point against the Cherries with a stoppage-time equaliser.
Chelsea got off to the ideal start thanks to Cole Palmer’s superb finish from Nicolas Jackson’s through pass.
However, despite losing both of their forwards, Evanilson and Enes Unal, to long-term injuries, Bournemouth responded.
Justin Kluivert levelled from the penalty spot, before Antoine Semenyo’s blistering near-post effort put the visitors in front.
James has endured another injury-hit season but showed the quality he possesses by curling home a free-kick at the death.
West Ham boss Graham Potter enjoyed a winning home debut as Fulham were beaten 3-2 at the London Stadium.
The Hammers shrugged off an injury crisis in attacking areas to score twice in two first-half minutes.
Carlos Soler pounced on a wayward pass by Andreas Pereira to sweep in the opener before Tomas Soucek fired in from Aaron Wan Bissaka’s cross.
Alex Iwobi’s intended cross evaded everyone on its way in at the start of the second half to give Fulham hope.
Lucas Paqueta restored West Ham’s two-goal cushion to take Potter’s men above Manchester United and Tottenham into 12th.
Iwobi pulled another goal back for Fulham, but defeat leaves them still in ninth.
