Hoops manager Harry Redknapp allowed Faurlín to make a temporary switch to the Serie A outfit during the January transfer window after snapping up Jermaine Jenas and Andros Townsend from Tottenham Hotspur.
The 26-year-old has only featured twice for Palermo since moving to the Stadio Renzo Barbera, and his agent Lucas Cominelli indicated Faurlín wants to stay at the Hoops beyond the summer despite being out-of-favour under Redknapp.
“We intend to let the season play out and meet with QPR in the summer to find out what they want to do next,” Cominelli said.
“I think it would be difficult for Ali if Harry Redknapp is there. After all, he wasn’t giving him much chance after he took over. But Ali loves London and he loves QPR, where he would be delighted to return if they want him.
“He has a year left on his contract, and he wants to go somewhere where he can play regularly. It’s all about playing games for him.”
Cominelli hinted other Italian clubs are keen on signing Faurlín but the former Instituto star will wait to see QPR’s intentions in the summer.
He added: “If there is a place for Alejandro because QPR have a change of heart we would want to explore all options.”