Chelsea’s miserable run extended to five league games without a win but they were grateful for captain Reece James’ stoppage-time equaliser salvaging a point for them against the Cherries.
Cole Palmer’s cool finish from Nicolas Jackson’s through ball had given Chelsea the perfect start.
But Bournemouth hit back despite losing both their strikers Evanilson and Enes Unal to long-term injuries.
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.