“FC Barcelona roundly deny any irregularity in the matter,” the club said in a statement on their website.
Abidal, who is now a sporting director at Barca, received a liver transplant in April 2012 at the Hospital Clinic in Barcelona, eventually returning to the game a year later before retirement in 2014.
According to El Confidencial, a telephonic conversation that involved former club president Sandro Rosell was tapped and it suggested that the club had illegally acquired a liver for the player.
Meanwhile, Rossell is due to face trial on money laundering charges in connection with Brazilian TV rights sales, and was also investigated for his part in the deal which brought Brazilian superstar Neymar to Barcelona.
A Barcelona court said it had decided not to proceed with a crime of organ trafficking after having investigated the case for more than a year and not finding any evidence.
“The club are saddened by the lack of rigour in the spreading of such information about such a sensitive issue,” said the Barcelona statement.
The 29-year-old left-back has been touted a possible transfer target for the likes of Manchester United, Chelsea and, most recently, Tottenham this summer.
However, while he admits the decision about his future is not solely down to him, the Spain international – who in 2015 signed a five-year contract with Barca that included a 150 million Euros buy-out clause – does not see himself leaving the LaLiga champions.
“I’m very happy at Barca. If it depended on me, I would stay at Barcelona my whole life,” Alba said at a Spain press conference at the World Cup, as reported by www.sport.es.
“But it doesn’t depend only on me, it’s also what the club wants. It also depends on my performances, which this season have been very good, but I don’t see myself away from Barca.”
Alba has helped Barca lift 13 trophies since moving to the Nou Camp from Valencia in 2012, including winning LaLiga four times, as well as four Copa del Reys, the Champions League and FIFA Club World Cup.
The 38-year-old former Barca defender, who successfully battled liver cancer during his five-year spell as a player at the Camp Nou, has been handed the role – the equivalent to a director of football in England – as the club attempts to deliver success both at home and in Europe.
Speaking at a press conference, Abidal said: “As well as my experience in the football world, I know this club and its players very well. It’s a question of bringing the values I have always maintained.
“It’s a pleasure to be back at FC Barcelona, it’s like my second home. I thank the club for entrusting me with such an important job.
“I am a Barca man, I want to give everything for the club, for the fans, for the players.”
Barca won La Liga for the third time in four years last season, leaving arch-rivals Real Madrid 17 points adrift, but could only look on as the men from the Bernabeu completed a hat-trick of Champions League triumphs.
Abidal, who revealed he has held preliminary talks with manager Ernesto Valverde over the club’s summer business, said: “When you are the technical secretary of a club, that’s the mentality to have, a winning one.
“We need to put the club in that direction – that’s for everybody. The club’s objective is to create a competitive team.
“I just want to bring my experience. I have been a player, I have been inside the dressing room. I’ll be here to take important decisions for the team and the club.”
Abidal’s appointment came amid the fall-out from Barca’s ultimately unsuccessful bid to lure striker Antoine Griezmann away from Atletico Madrid, with vice-president Jordi Mestre expressing his regret over the saga.
Mestre, who added that the club would be speaking to defender Gerard Pique about his company’s part in the production of the video in which Griezmann revealed his decision, said: “As a club, we respect any player’s decision to decide their own future.
“We had officially informed Atletico Madrid of our interest in the player. Barca wants players who are committed and determined to triumph here, above and beyond any other circumstance.
“That said, we’re very sorry and we regret that there are members and fans who may have felt disappointed by the way the final decision played out.”
Mestre declined to go into greater detail on Griezmann, saying it would show “a lack of respect” to Abidal, and the former France international was not about to be drawn into the debate when asked what the striker’s non-arrival might mean for compatriot Ousmane Dembele next season.
Abidal said: “I’m not here to talk about Griezmann. We know Dembele is a player who has a lot of talent. We want to have all our players, not just Dembele, at 100 per cent.
“But first, he wants to have a great World Cup with the national team and then he can rest and come back to the squad to training and keep moving forward.”