The England striker was revealed in May as having asked for a second time to leave Old Trafford.
The Sun report that all three are ready to enter bids of £25m to try and pick up the striker.
A Barcelona ‘insider’ is quoted by the English publication: “Rooney is precisely the type of attacker that would fit perfectly into the system.
“Defence starts from the front at Barca and Rooney works harder than anyone.
“His first touch, movement, control and vision are phenomenal and if he comes on the market then the club are certain to try to sign him.”
It is believed that the Catalans view Rooney as a like-for-like replacement for David Villa, who is expected to depart this summer.
Malaga owner Sheikh Abdullah Al Thani has seemingly unofficially confirmed Isco’s departure from the club this summer.
Isco is heavily speculated in Spain this week as having accepted a deal to move across to Real Madrid, after two years at La Rosaleda.
On from a particularly notable second season, Malaga’s owner has indicated in a posting through his official Twitter account that the player is indeed leaving.
“shirts No . 22 will not be available to any other player in the Malaga cf courtesy to the player Isco,” wrote Al Thani, implying his unofficial intention to retire the 21-year-old’s shirt.
Spanish Football League (LFP) regulations do not allow for clubs to retire shirt numbers.
Napoli striker Edinson Cavani has admitted that he is ‘ready to move to a bigger club’, but that there is no agreement with Real Madrid in place.
The Uruguayan has been linked with Madrid as well as Manchester City and Chelsea, with reports in Italy this week suggesting that it is the London outfit who have a deal agreed.
However, the player’s family have more than once commented that the striker is angling for a move to the Santiago Bernabeu.
“This is a good opportunity to tell the world that, when my family speaks, that isn't Edinson Cavani speaking,” Cavani told Marca, in clarifying statements in recent days from his mother and father.
“I've asked my family thousands of times to please not talk anymore, because it harms me. I belong to Napoli and everything depends on that club.
“If at some point there is another option, we'll see. What I want to do is sit down face-to-face with the President and decide my future together.”
Cavani was asked of the possible interest from Madrid.
“Real Madrid is one of the best clubs in the world, but there is no deal yet.
“When we're kids, we dream about playing at a team like Madrid or Barca, but right now I'm at Napoli and I'm very proud to be there.
“If I leave one day, I'll be ready to move to a bigger club. We'll see.
“Was I a Madrid fan when younger? No, I didn't look at what happened abroad. I just tried to have fun and little else.”
The 26-year-old was asked to describe his playing style too.
“I'm not a stationary centre-forward. I'm more of a mobile goalscorer. I even track back to defend.
“It's important to track back, steal the ball and then pass forward. I like to play with freedom to roam.”