All three are coming off contract and Sky Sports says they've been tabled new terms.
Former England goalkeeper Green, 34, joined QPR on a free transfer from West Ham United and has gone on to make 67 appearances for the club.
Hill, 35, has made 150 appearances for the club he joined from Crystal Palace in 2010 and had indicated an interest in moving into a coaching role.
Faurlin, 27, has been out of action since early November last year after suffering a second anterior cruciate ligament injury against Derby.
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