Inter don't want to let Krhin go out on loan, preferring to sell him in a permanent deal, for about 4 million Euros.
Leeds are currently under a transfer embargo though,of course, meaning they can only sign players on free transfers or loan deals in January - and even then under certain conditions.
Krhin is a 24-year-old Slovenia international who has been linked with moves to Chelsea and Liverpool in the past.
He's hardly played for Inter though, despite joining them from Maribor in 2007, and has spent four seasons on loan at Bologna in a co-ownership deal.
The player is highly regarded by Nicola Salerno, who is effectively Leeds' sporting director, though. And Darko Milanic also spoke highly of his countryman during his short stint as Leeds boss earlier this season.
I spoke briefly to Leeds owner Massimo Cellino from Miami on Saturday night. He said the club would be looking to bring in two central midfielders (one of them being Krhin, although Cellino refused to give me any names) as well as Italian striker Leonardo Pavoletti.
Cellino and Salerno have been keen on the Sassuolo striker ever since they first arrived at Elland Road. Cellino persuaded the 26-year-old to attend the Boxing Day game against Wigan.
It's unclear what the striker made of the 2-0 home defeat by the lowly Lancashire side though.