The forward completed the full game while his counterpart was withdrawn after the hour mark.
Match Summary
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.
Bournemouth forward Antoine Semenyo, reportedly close to a big-money transfer, was at the heart of the action, providing two assists and conceding a penalty in a dramatic 2-2 stalemate against 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. Referee Sam Barrott pointed to the spot after consulting the Video Assistant Referee (VAR) monitor.
Palmer calmly dispatched the penalty, placing it perfectly into the corner even though the keeper dove the right way. Fernandez made it 2-1 with a stunning strike into the top corner midway through the first half.
Bournemouth hit back almost immediately, as another Semenyo long throw was turned in by Justin Kluivert from close range just four minutes later.
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.
Deep into added time, Unal connected with an Adli cross but sent his volley over the bar from a central position.
The result means Chelsea have managed just one victory in their last seven league outings. Bournemouth's winless streak now stretches to ten matches across all competitions.
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