Amine Adli scored with the last kick of Saturday's fixture on the south coast to undo a recovery from the Reds.
Evanilson and Alex Jimenez put the Cherries 2-0 up in the first half, before Virgil van Dijk and Dominik Szoboszlai scored to level proceedings.
See the key moments and entire game in the videos below via All Red Video.
