Semenyo played the entire match as Palmer was substituted in the second half.
Key Moments
Antoine Semenyo's long throws created goals for David Brooks and Justin Kluivert.
Cole Palmer and Enzo Fernandez found the net for Chelsea in a frantic first half.
Enzo Fernandez missed the best opportunity of a goalless second period.
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.
The 25-year-old, who is in deep discussions over a potential multi-million pound move, nonetheless featured for his current side. His distinctive long throw-ins proved a potent weapon, leading to goals for teammates David Brooks and Justin Kluivert.
Brooks opened the scoring just six minutes in, converting from close quarters after a dangerous long throw from Semenyo.
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.
Palmer calmly dispatched the penalty, placing it perfectly into the corner even though the keeper dove the right way. Enzo Fernandez then extended Chelsea's lead, firing a superb shot into the top corner after 23 minutes.
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.
At halftime, Chelsea's manager made two changes, introducing captain Reece James and Pedro Neto for Josh Acheampong and Alejandro Garnacho.
A potential handball incident involving Gusto was quickly reviewed and not given by the video officials. Former Chelsea goalkeeper Djordje Petrovic then produced an excellent save to deny Estevao from distance.
Fernandez had the clearest opportunity to win it late on, but he skied his effort from a promising position inside the penalty area.
Moments earlier, Palmer was substituted for Joao Pedro, a change that was met with disapproval from some home supporters. 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.
This draw extends Chelsea's poor run to only one win in their previous seven Premier League matches. Bournemouth's winless streak now stretches to ten matches across all competitions.
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