Semenyo played the entire match as Palmer was substituted in the second half.
Key Moments
Two assists from Semenyo's long throw-ins led to strikes by Brooks and Kluivert.
Cole Palmer and Enzo Fernandez found the net for Chelsea in a frantic first half.
The second half's clearest chance fell to Fernandez, who failed to convert.
In the midst of advanced transfer talks, Bournemouth's Antoine Semenyo delivered a mixed performance, setting up two goals and giving away a spot-kick in a thrilling draw with Chelsea.
Despite being on the verge of a lucrative switch, the 25-year-old attacker started for his club. He utilized his long throw expertise to great effect, creating scoring opportunities that were finished by Brooks and Kluivert.
The deadlock was broken early when Semenyo's first long throw caused havoc, allowing Brooks to score from close range in the sixth minute.
Chelsea responded and then took the lead after Semenyo fouled Estevao Willian inside the penalty area. The match official awarded a penalty after a review by the Video Assistant Referee system.
Cole Palmer stepped up and converted the penalty, finding the corner despite the goalkeeper guessing correctly. Fernandez made it 2-1 with a stunning strike into the top corner midway through the first half.
Kluivert leveled the scores again shortly after, tapping home from another precise long throw delivered by Semenyo.
The visitors finished the first period on top, forcing Sanchez into several saves from their 14 first-half efforts.
The home side's boss reshuffled his team at the break, bringing on James and Neto for Acheampong and Garnacho.
Early in the second half, a handball appeal against Malo Gusto was dismissed by the VAR official. Petrovic, once of Chelsea, made a fantastic stop to keep out Estevao's powerful drive from the edge of the area.
The best chance of the second half fell to Enzo Fernandez in the 77th minute, but he blazed his shot over the bar from inside the box.
Palmer's withdrawal for Pedro was greeted by boos from a section of the home crowd as the manager's side sought control. Despite growing dominance in the latter stages, Chelsea could not find a decisive late goal.
In injury time, Bournemouth substitute Enes Unal volleyed over from 12 yards out after a cross from Amine Adli.
The result means Chelsea have managed just one victory in their last seven league outings. For Bournemouth, the point does little to improve their own form, as they remain without a win in ten games.
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