The 29-year-old goalkeeper finds himself some way down the pecking order at Selhurst Park, with Julian Speroni, Wayne Hennessey and Neil Alexander all ahead of him.
In order to get game time, Price agreed to step down into Sky Bet League 2 with Mansfield in April.
The Wales international made five appearances during a productive spell and did enough to convince his loan employers that he would be a useful addition to their ranks.
Mansfield's assistant manager Adam Murray told the Nottingham Evening Post on the prospect of bringing Price and fellow loanee Darryl Westlake back to Field Mill: "If it's doable, then we'd like to.
"It will come down to, first and foremost, if the boys want to come - obviously they're both from clubs higher up in the football pyramid, so they'll have the final decision.
"But, yes, we're interested in bringing those boys back."
Were Price to sign for Mansfield, he would compete for a starting berth with club stalwart Alan Marriott - who has been offered a new contract.
Murray added: "With a smaller squad we will probably be looking at a couple of loans next year, so looking at that route again is a possibility.
"If Pricey wants to drop to this level and a deal can be done, then great.
"You look at those two (Marriott and Price) as your two goalkeepers at the club, it would be a great little battle.
"Alan's gone away and he's going to think about his future and where he sees things and what he wants to do.
"Alan has had a lot of experience. He's 36 now, he's played a lot of football and is an excellent professional, and he's still in really good shape."