With their first shot on target, Kevin Betsy managed to beat the offside trap to place the ball past David Forde to level matters in the 33rd minute.
From the restart, the Cherries went back down the other end for Jo Kuffour to restore the lead, with a shot from 18 yards. Further chances came and went as the Cherries forged forward for a third goal.
In the second period, Walsall didn't have much to offer going forward as the Cherries again pressed to extend the advantage.
One shout for a penalty appeal was waived away as Sam Vokes was floored in the penalty area by the Walsall 'keeper. But moments later, Kuffour had his shirt tugged in the penalty area which did result in a penalty, which was neatly despatched by Brett Pitman.
Further chances came and went as the Cherries pressed further, but no further goals were scored.
Full match report to follow ..............
The result leaves the Cherries just 4 points adrift of safety as Cheltenham Town become the team to catch in League One. Six wins in seven matches speaks for itself ....... can an even greater escape be achieved?
AFCB: Forde, Bradbury, J Pearce, Cummings, Cooper, Anderton, Hollands, Vokes, Kuffour, Pitman
Subs: Pryce, Young (for Vokes, 64 mins), Bartley (for Anderton, 78 mins), Garry, McQuoid