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William Saliba received his marching orders on the half-hour mark for denying Evanilson a goalscoring opportunity, giving the hosts a glorious opportunity for an upset at Vitality Stadium.

Midway through the second half, Bournemouth took that chance, with Christie breaking the deadlock in the 70th minute before Kluivert doubled the advantage from the penalty spot.

That calmly taken spot-kick ensured Arsenal could not salvage a result to maintain its unbeaten start to the campaign as the Gunners came up short on a frustrating day for manager Mikel Arteta.

The Gunners stay third, missing the chance to go top with Liverpool and Manchester City not playing until Monday (AEDT), while Bournemouth moved up to 10th after collecting its third win of the season.

Arsenal was one of just two unbeaten sides left in the Premier League going into the weekend, but a lacklustre performance on the south coast has taken that tally to just one.

Despite not showing much of a threat at the start, the game turned with Saliba's sending-off – in his 93rd appearance for Arsenal in all competitions, he received his first red card.

Arteta admitted the defeat could cost his side eventually.

"It's very difficult to win in the Premier League with 10 men for 60-70 minutes, it's just an accident waiting to happen. We have had to go through it in three games and that cost us the game," he said.

"We had the big chance and the moment in the game to score and have a different result, and then we conceded a goal. We try to stick to the rules. The three [red cards] have been different ones and three very different outcomes.

"The team tried, the effort with 10 men was fantastic, but today it was not enough to win the game. It took us a while to understand what we had to do in the first 15 minutes to start with, then we grabbed the game, but after 30 minutes, the game changed."