Rovers in frame for Asta
Despite having just offloaded another arrival from Italy, Corrado Grabbi, back to Serie B on loan, Rovers are still looking to the country for new players.
Asta, 31, who is a virtual ever-present for Toro this season, is struggling to agree new terms with his club for a contract extension - and could leave for nothing in the summer.
Blackburn are watching the situation with interest, with suggestions that a three-year deal worth é¼7.5 million (£4.5 million) may be tabled.
Asta has been with Torino since 1997, moving to Turin from Monza after working his way up through the league structure.
A tenacious and tough-tackling midfielder, the influential player scored four times last season as his side bounced back into the top-flight from Serie B.
There were even recent suggestions that the player would win a call-up for his national side, something the player admits is hugely flattering.
"It is beyond a dream," said Asta. "What player would not see it as this?
"But for now Torino are my national side for now, and I will give my all for them."