Enes Unal's late equalizer was tough on Sheffield United, who responded to Arsenal's humiliation at home on Monday with a spirited display on the south coast.
Perhaps unsurprisingly, the visitors looked lacking in confidence early on as Bournemouth started in the lead.
But Dominic Solanke's penalty miss seemed to breathe new life into Wilder's side, and their efforts were rewarded as Gustavo Hammer beat Neto to score his third Premier League goal.
Sheffield United had conceded 18 goals in their previous five top-flight games, but defended resolutely in the first half, with Jack Robinson taking advantage of Neto's lack of concentration to double their advantage and seal a valuable three points. It looked like I was on course to win.
But it was one-way traffic after Dango Ouattara halved the difference with just over 15 minutes of normal time remaining, and Unal's last-gasp finish denied the Blades a precious victory.
The late goal was a bitter pill to swallow, but Wilder will be encouraged by his team's performance as he prepares to meet club owner Prince Abdullah in Riyadh next week.