The recent outing against Chelsea was a chance for Swansea to pick up at least a point, but Carvalhal's men could not do enough to cancel out Cesc Fabregas opener and with Southampton winning against Bournemouth, they would fancy their chances against the Cherries to heal some of their wounds.
The Cherries remained the more threatening side, though, and Wilson again failed to punish Swansea when he met Fraser's low cross and inexplicably scuffed wide of the left-hand post.
Bournemouth broke the deadlock eight minutes from halftime.
Yet Swansea struggled to take inspiration from their goalkeeper's heroics and now find themselves relying on results elsewhere to become only the fourth side to survive the drop who were bottom of the Premier League at Christmas.
It was Swansea's seventh game without a win, and third in a row without a goal.
The two lasted the entire duration of the game which Swansea needed to win to all but ensure their safety.More news: Trump Angers the French
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Reflecting on the Bournemouth defeat, Carvalhal said: "After a game that we lose, everyone is sad of course, but we will react and Tuesday, we must be at the top". Bournemouth will be able to drop into a five at the back formation if they are on the back foot. - Ryan Fraser has registered his best goal tally in a single league season (five goals).
Back to "who will go down, who won't" and Huddersfield will need some favours from above as they travel to face the league champions, the 2017-18 champions Chelsea before hosting Arsene Wenger in his final Gunners bow. The overly-defensive tendencies which blunted Sheffield Wednesday earlier this season have reappeared to leave Swansea without a goal in 5 of their last 7 games.
With Swansea's final two fixtures being in South Wales, this might help them avoid a championship fate next weekend. - Bournemouth ended a run of 11 Premier League games without a clean sheet, which was the longest current conceding streak in the competition.
"It's an incredible achievement", Howe told Sky Sports.
But they looked good last weekend playing a back three against Southampton, despite the 2-1 loss.