With 27 goals in 27 games for club and country this season - and 18 in 17 in La Liga - Falcao's stunning form has not gone unnoticed by PSG's Qatari owners.
Though Chelsea are understood to be long-term admirers of the 26-year-old Colombia international, PSG have also been linked with a possible move.
Falcao has done little to dampen speculation of a transfer to Parc des Princes by openly speaking of his admiration for France and the club.
"France is a wonderful country - I've been there and I love it," he told Sport.
"PSG have a very ambitious project and have been investing heavily in building a competitive team.
"They may be successful soon."