Cherries striker Callum Wilson scored twice to deny Southampton victory at St Mary's Stadium but Ryan Babel's stunning strike for already relegated Fulham leaves Saints seven points above 18th-placed Cardiff, who occupy the final relegation place, with two matches left.
Southampton took the lead on 12 minutes when Shane Long converted Nathan Redmond’s cutback.
But AFC Bournemouth turned the match on its head before half-time as Dan Gosling finished a fine counter-attack and Wilson pounced on a loose ball.
James Ward-Prowse's long-range strike levelled the match on 55 minutes, before Matt Targett headed in Yan Valery's cross for his first goal in the PL and the 1,000th in the competition this season.
But Wilson's second goal earned a draw for the Cherries, who move up to 13th on 42 points.
Southampton remain 16th, with 38 points, but are seven points above the relegation zone with two matches left.
Southampton: 4 May v West Ham (A)
AFC Bournemouth: 4 May v Spurs (H)