The Catalans have struggled to impress under Setien and are currently second in La Liga with Real Madrid in pole position to claim the league title.
That situation, combined with Barcelona’s lacklustre displays, has led to speculation Setien could be replaced at season’s end with Xavi himself preparing for a return to Camp Nou as a manager.
“Xavi will be Barca’s coach, sooner or later. But right now we are not looking for a coach, we are with Quique,” Bartomeu told TV3.
“Quique Setien will coach the team in the Champions League and these last two Liga games that are left.
“We have had a very atypical season, we will play in August and he will be the coach. If we overcome Napoli, we will be in Lisbon.
“Our will is to fulfil contracts and Setien has one. We went to Setien’s house to speak about the future, the plans for next season. He will probably be there and I am very interested to hear what he thinks.
“He has a lot of time for Riqui Puig and Ansu [Fati]. We have seen Pedri and [Francisco] Trincao in form, there is hope.”
While Setien may be safe for now, Xavi is readying himself for the chance takeover at Barca when the right opportunity presents itself.
“The biggest hope I have now is to be Barca coach and get Barca back to winning ways,” Xavi told Sport in June.
“Not me but these players and Barca triumphing. And as a consequence, our technical staff, who are preparing for it a lot and it makes us really excited.
“I’m a club man. I would like to return at the right moment to start a project from zero. I’ve said it a lot of times but I want to take footballing decisions at Barcelona.
“It’s clear that after the elections the stage would be set, of course. I’m not ruling anything out.
“They came for me in January, we were speaking. I told them the circumstances and timing weren’t right.”