The recently promoted London outfit attempted to lure the 24-year old to Loftus Road in January, but the £6 million fee was too steep for the club with promotion not secured. However, having won the £120 million play-off final, the Daily Mail is reporting that manager Harry Redknapp is ready to revive his interest in the striker, without the limitations of Championship-level Financial Fair Play.
Bobby Zamora, the man who secured promotion for Rangers, with his last-minute goal in he play-off final, is set to leave when his contract expires this summer, as is Andy Johnson. Loic Remy is expected to leave as he searches for Champions League football, whilst Kevin Doyle is to return to Wolves after his loan spell.
Despite the potential return of Doyle, and the goalscoring ability of Charlie Austin, the 67-year old coach is attempting to increase his striking options as he aims for survival in the Premier League, and has highlighted Sigthorsson as the player to provide competition to last seasons top scorer Austin.
The Icelandic striker has scored 24 times in 59 games for Ajax, since signing from fellow Dutch side AZ Alkmaar - with whom he netted 15 times in 32 games. He has also featured 23 times for his country as they reached the European Qualification Play-Offs for the 2014 World Cup - scoring 15 times in the process.
His incredible scoring rate has been noticed by many teams, with Celtic, Newcastle and Liverpool all reportedly tracking his talents - although the Dutch champions have refused to entertain any bids for the player who has been central to their three consecutive Eredivisie wins.
However it has been suggested, with the potential departure of head coach Frank de Boer, that the Dutch giants will start to be disassembled, with their talented squad heading to more challenging leagues.
It could be the perfect time for QPR to capitalise on securing Sigthorsson's signature, and to guarantee his undoubted goalscoring talents for their return to the Premier League.