Notwithstanding seeing a two-goal first-half lead slip away in a challenging second half, the manager highlighted the positives from a resilient display in tough conditions.
He also expressed gratitude to the travelling Claret and Blue Army for their support.
“Let me start by saying we had a two-goal advantage, but in the end when we went to our fans, the fans realised the effort of the players,” Nuno said.
“It's a very tough place to come. The first half was us - we took advantage of the straight ball, of the second ball, we managed the tempo of the game, we managed to control Bournemouth, and we achieved a good lead.
“In the second half, Bournemouth did exactly the same that we did (in the first). They managed better the circumstances of the game, we couldn't go out, they put us against the ropes, they engaged five players in the last line.
“The boys were organised but were missing the pass to go out of pressure, to really hurt them with space, under tough circumstances.”