Juventus have been trying to offload the Welshman throughout the winter transfer window but with hours left in the window, he is still their player.
Ramsey has rejected offers to join Newcastle and Crystal Palace this month, but Juventus are still pushing to offload a player who is one of their top earners and has not played since September.
And it has now been claimed that the former Arsenal player could make a sensational move to Scotland on deadline.
According to Sky Italia, Rangers are now in talks with Juventus for the signature of the 31-year-old midfielder.
Giovanni van Bronckhorst is pushing to bring in more signings on deadline and Ramsey has emerged as a shock target for them on deadline day.
Rangers are now trying to secure a deal to take the former Arsenal midfielder to the Ibrox today.
He is still wanted in the Premier League where Burnley are still interested in signing him.
It remains to be seen whether Ramsey would be keen on a move to Scotland in the final hours of the window.