Mark Warburton's Rangers are without Niko Kranjcar for the rest of the campaign - could Fabbrini replace him at Ibrox?
Rangers are without Niko Kranjcar for the rest of the campaign through injury, and the former Italy international could be a useful addition for Mark Waburton's side.
Fabbrini only joined Birmingham 11 months ago from Watford, and is thought to have cost the Blues £1.5 million - their biggest outlay since 2011.
However, the 26-year-old has made just five appearances for Gary Rowett's side this season, with all but one of those coming from the bench, and the promotion chasers are reportedly ready to cut their losses.
Warburton recently met with Rangers chairman Dave King to discuss January transfer targets, although there is little to suggest that the 54-year-old is keen on bringing Fabbrini to Ibrox at this stage.
Warburton came up against the former Udinese player during his time as Brentford boss.
Fabbrini has also spent time on loan to English sides Millwall and Middlesbrough, for whom he scored six goals in 26 appearances last season.
Would you welcome Fabbrini to Rangers?