Former Chelsea forward Hudson-Odoi scored with a curling shot from outside the box following a well-drilled Forest free-kick routine in first-half stoppage time to draw his side level after they fell behind to an early Bournemouth goal.
Bournemouth started brightly, taking the lead from a Lloyd Kelly corner in the fifth minute, with Justin Kluivert firing the hosts in front from point-blank range after latching on to Luis Sinisterra’s knock on.
Forest served the first notice of their attacking intentions five minutes after falling behind, when Taiwo Awoniyi was played through by Morgan Gibbs-White, but the Nigerian striker shot straight at Neto in the Bournemouth goal.
The visitors grew into the match as the half wore on, with Ryan Yates shooting tamely straight at Neto from close range in the 24th minute after being picked out by Murillo following a deep free kick that sparked panic in the Bournemouth defence.