A report from London Evening Standard writer Jochan Embley (h/t L'Equipe) suggests Cavani is still open to a move away from the French giants at the end of this season.
Disgruntled Chelsea boss Jose Mourinho must pounce. Mourinho recently saw his team thumped 3-1 by Cavani's PSG in the UEFA Champions League quarter-final first leg.
Cavani didn't exactly produce a great audition, with BBC Sport writer Mike Henson dubbing him "disappointing in general." But Mourinho knows the Uruguay international is still head and shoulders above any member of his current striker rotation.
In the aftermath of the defeat, the Portuguese coach again took the opportunity to lament his lack of quality options at striker, per this video from The Guardian:
That Mourinho deployed a formation without a natural striker in such a big game spoke volumes about Chelsea's problems in attack.
Recently, Costa has been seen as the solution to those woes. The prolific and resourceful Atletico Madrid hitman is a reported £40 million summer target for Mourinho, per Daily Mail scribe Neil Ashton.
While Costa would be a terrific addition for Chelsea, he wouldn't be the dream fit for Mourinho that Cavani is. The Uruguayan is a true power player at centre-forward.
Cavani is a physical marvel, with the height, muscle and brute force Mourinho so often craves at the heart of his attack. The player who only joined PSG last summer would instantly become Mourinho's new Didier Drogba.
Costa makes his bones scuttling across a forward line and harassing defenders. By contrast, Cavani batters opponents.
Having a sledgehammer at the apex of the forward line is what Mourinho's second stint with Chelsea is missing the most.
Cavani can offer that type of presence, while still exhibiting the graft that makes Costa so successful. Since arriving in the French capital, the ex-Napoli and Plaermo star has been forced to play second fiddle to Zlatan Ibrahimovic.
It has meant being thrust into an uncomfortable role as a wide forward. But the natural central striker has still worked hard in his unfavourable position.
A full-time return to the middle would bring Cavani back to his prolific best. It would also give Mourinho a focal point for his counter-attacking game.
Mourinho has spent all season trying to reshape Chelsea from a team reliant on flair to one solidified with strength. That's why he dumped Juan Mata in favour of midfield bulldozer Nemanja Matic.
Adding Cavani this summer would finally give Mourinho the type of Chelsea team he wants.
Being able to choose between strikers as proficient as Costa and Cavani is a nice dilemma to have. The truth is Chelsea can't really go wrong either way.
But if it is a choice, then Mourinho, the great proponent of power football, should go with Cavani.