The Sun says Gallardo, 31, could be snapped up on the cheap as he has just a year left on his PSG deal.
A source close to the Argie - nicknamed The Doll because he is just 5ft 5in tall - said: "Marcelo is one of the names who has been put forward to [Eggert] Magnusson's people.
"He is similar to Tevez but at least his economic rights are not owned by anyone else!"