The Eagles lost late in the contest at the Vitality Stadium, which does dent their league position.
However, captain Joel Ward felt that they gave everything in a narrow 1-0 loss and would have merited a draw at the least.
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I think we probably deserved more out of the game," he told club media post-game.
It's obviously annoying to come away with nothing, but I think really we should have come away with at least a point.
"But there's lessons to learn and we go again on the weekend and we just have to keep on moving forward."