Most are reportedly available as free agents or transfer listed players. Others could be prised from their current clubs for a sensible fee. All have been nominated by Posh fans on social media.
Here they are with a rating out of 10 for the likelihood of them pitching up at the Weston Homes Stadium ahead of the 2025-26 season.
13. ARCHIE MAIR - 5/10.
Posh need a new goalkeeper and Norwich City have just released this 24 year-old who has first-team experience at several clubs, but never played for the Canaries. Posh will probably want better. Photo: Eddie Keogh
14. RICARDO SANTOS - 2/10.
A centre-back who undoubtedly improved when he left Posh under a cloud, but released by Bolton after suffering injury issues last season. He's 29 now. Photo: Pete Norton
15. ARMANDO DOBRA - 6/10.
Hard Truth podcast co-host Philip Ideson was apparently scouting for Posh when his beloved Bradford City played Chesterfield. This highly-skilled 24 year-old Chesterfield forward player who can play in more than one position is one who would suit Posh for sure. Photo: Ben Roberts Photo
16. LUKE MOLYNEUX - 3/10.
A terrific attacking winger who has just completed an excellent season at League Two champions Doncaster Rovers. He's 27 and there's no real likelihood of Donny selling unless they receive a tasty offer. Photo: George Wood