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Pedri has had a difficult season with injuries and has been among the substitutes for his side's last three matches.
Spanish publication Marca reported recently that Liverpool was on alert, with Barca considering selling the midfielder.
It had been claimed that Barca would let Pedri go for an offer in the vicinity of $65m (£51.3m/€60m), with Arsenal and Manchester City both also keen.
But according to Relevo, a move now appears highly unlikely with Pedri regarded as a player who is simply not for sale at the Nou Camp.
And after extending his stay with the club, Xavi wants to build his team around the Spain international.
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Pedri is contracted at Barca until 2026 and the club and his agent have been negotiating fresh terms for some time.
Yet the club's well-known financial issues have slowed down talks and led to speculation over a potential transfer.
Speaking ahead of the recent Champions League clash with Paris Saint-Germain, Pedri revealed a new deal had been discussed: "I’m very calm, I’m very happy.
I’m happy to be in the team of my dreams," he said.
His comments were echoed by those of sporting director Deco, who moved to reject speculation that Barca would cash in on Pedri this summer.
The important thing is that he finishes the season well.”
The midfielder played the final 20 minutes of his side's defeat to unlikely challengers Girona on Saturday, which left Barca in third.
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