Remy spent last season on loan at Newcastle, scoring 14 goals in 26 Premier League appearances, but looks unlikely to help QPR on their return to the top flight.
Article continues below ...
It is understood the 27-year-old France international has a release clause in his contract which allows him to speak to clubs in the Champions League if they meet the agreed fee, and he has now been given permission to talk to Liverpool.
Remy would be Liverpool’s fifth signing of the summer as Brendan Rodgers bolsters his squad for the extra commitments in Europe while coping with the loss of Luis Suarez to Barcelona.
Adam Lallana, Rickie Lambert, Emra Can and Lazar Markovic have already moved to Anfield this summer.