The match appeared destined for a draw but in the final minute of normal time, Fraser struck again to give his side their first win in nine top-flight fixtures.
Find out how all of the action unfolded on the South coast courtesy of Sports Mole's minute-by-minute updates below.
BOURNEMOUTH SUBSTITUTES: Boruc, Simpson, Daniels, Arter, Pugh, Mousset, Afobe
EVERTON SUBSTITUTES: Robles, Williams, Bolasie, Rooney, Niasse, Davies, Holgate
BOURNEMOUTH XI: Begovic; Francis, S.Cook, Ake, A.Smith; L.Cook, Gosling; Ibe, King, Fraser; Wilson
EVERTON XI: Pickford; Kenny, Keane, Jagielka, Martina; Gueye, Schneiderlin, McCarthy; Lennon, Sigurdsson, Calvert-Lewin
If you would like to read our on-the-whistle match report, you can do so by clicking here. Goodbye for now and Happy New Year.