The Loftus Road club are sitting pretty at the top of the Championship after an 19-game unbeaten start to the season.
Eyes on the ball: Mutu is in line for a shock return to London
And high level talks at the west London club have seen the controversial former Chelsea striker mentioned as a possible January target.
Manager Neil Warnock wants to bolster his attacking options once the transfer window re-opens next month.
Shamed: Mutu was sacked by Chelsea after admitting to cocaine use
Sportsmail understands Rangers chairman Gianni Paladini has good contacts with Serie A side Fiorentina - who have made it clear to the Italian that they'd consider letting Mutu leave the Viola. And making a move for Mutu is an option Rangers are giving consideration to.
Whether Mutu would be prepared to move to the second tier of English football remains to be seen, while despite their financial clout, Rangers would struggle to match the Romanian's wages.
Sitting pretty: QPR have enjoyed a great start to the season despite recent defeats to Watford and Leeds
Mutu's chequered past in England may also provide a stumbling block to a possible move.
He was sacked by Chelsea in 2004 after failing a drugs test and has only just returned from another ban in Italy after testing positive for banned stimulant sibutramine.
Nevertheless, Rangers' interest in Mutu shows they mean business in their bid to bring top-flight football back to Loftus Road.
This way to Loftus Road: Warnock refused to rule out a move for Mutu
Warnock tried to play down the possibility of bringing in the 31-year-old, but said: 'There are always possibilities - you don't say no to anybody. 'We have contacts in Italy and in one or two other places with good players.
'Like anybody else the owners are in conversations with many people and names are pushed forward and they put it past me. 'But at the moment we are not thinking of anything substantial like that.'
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