The Catalan giants are beginning to prepare for life after Valdes, and De Gea has emerged as one of their main targets. Valdes has enjoyed a hugely successful 10 year career at the Nou Camp, winning five La Liga titles and three Champions Leagues, but the Spain international is yet to put pen to paper on a new Barcelona contract.
The report claims Barcelona tried to bring De Gea to the Nou Camp several years ago, when the Spaniard was still an academy player with Atletico Madrid, but the Catalan club were put off by the £500,000 asking price.
De Gea eventually moved for £17m to Old Trafford in 2011. The Manchester United number one has now cemented his place as the club's first-choice keeper after a turbulent first year at the club.
And Ferguson is now thought to consider De Gea as the club's long-term number one. But that faith could be tested by a Barcelona bid, according to the report.
Barcelona sporting director Andoni Zubizarreta reportedly has a list of five goalkeepers he will target should Valdes decide against signing a new deal.
As well as De Gea, the Barca director of football has his eye on Roma shot-stopper Maarten Stekelenburg, Valencia keeper Vicente Guaita, Borussia Moenchengladbach's Marc Ter Stegen and Bernd Leno of Bayer Leverkusen.