The Sampdoria stopper’s contract expires at the end of the season, which has led to talk that the Serie A side may cash in on him next month rather than risk losing their man for free.
Romero shone for his nation at the World Cup over the summer, playing a key role as the South Americans made it all the way to the Final – where they eventually lost to Germany.
Liverpool were linked with the 27-year-old shortly after the tournament in Brazil, and are now rumoured to be back in the hunt.
Current No. 1 Simon Mignolet has struggled so far this term, making a host of costly errors, while stand-in man Brad Jones is not seen as capable when called upon.
Everton are also in the running, with Roberto Martinez concerned by veteran glovesman Tim Howard’s injury woes.
The USA international is set to miss most of January and has been criticised for his below par showings so far this season.