Many people expected the 22-year-old midfielder to flourish under Xavi, but that did not happen last season and the Spaniard made just 14 appearances in La Liga last campaign, only two of which were starts.
Meanwhile, Neto - who signed for the Catalan club in 2019 - has made just 21 appearances in three years.
While Xavi previously publicly praised shot-stopper Inaki Pena, who spent last year on loan at Galatasaray, Neto is reportedly planning to honour his contract until 2023.
Laporta casts doubt on De Jong's United move.
Joan Laporta, Barcelona's president, recently made a number of comments which appeared to
place Frenkie De Jong's move to Manchester United in serious doubt.
The LaLiga were said to be willing to let the Dutch midfielder leave in order to ease their financial troubles. United, it seemed, were set to take advantage of that, having what appeared to be a free run at the player.
Laporta, however, had some bad news. United aren't the only club in for De Jong and, even if they are, it doesn't matter; Barca aren't for selling.

"There are clubs that want him, not just United," he told reporters. "We have no intention of selling him, he wants to stay.
"Frenkie is considered as one of the best midfielders in the world by all the experts. We are happy to have him."
The idea that United, in a summer where they *had* to get their transfer business right, might have wasted their time and energy pursuing a player who they can't get will be hard to take for their already weary supporters.