Ali Al-Habsi (Wigan Athletic) - Already linked with a move to the Madejski Stadium. His career has badly stalled in the last few years but could be worth a punt.
Andy Lonergan (Bolton Wanderers) - You would hope there were more exciting goalkeeper options out there than Lonergan. Was highly rated at Preston North End but he was always back up in his two years at Bolton.
Danny Collins (Nottingham Forest) - At 34 he may be looking at a move to the lower leagues. Frozen out by Stuart Pearce last season before being recalled by Dougie Freedman. I'd pass personally.
Carlos Cuéllar (Norwich City) - Primarily a centre back, but can also operate as a right back. Experienced but was barely used by the Canaries last season. Do we want another potential Anton Ferdinand at the club?
Javier Garrido (Norwich City) - Left back. Would he play ahead of Jordan Obita? No, so there's not much point signing him just to be another Jure Travner.
Greg Halford (Nottingham Forest) - Jack of all trades, master of none. Can't see him being desperate to return to the Madejski Stadium where he always gets booed.
Daniel Harding (Nottingham Forest) - See Javier Garrido.
Joe Mattock (Sheffield Wednesday) - See Javier Garrido.
Kevin McNaughton (Cardiff City) - If Stephen Kelly turns down a new deal at Reading than McNaughton would be a ready made replacement. Comfortable across the defence.
Matt Mills (Bolton Wanderers) - As free transfers go Mills would be an excellent signing for the Royals though few fans would admit. Likely to move to a club with loftier ambitions.
Sam Ricketts (Wolverhampton Wanderers) - Finished the season on loan at Swindon Town. Will be desperate to find a new club where he can be a regular so he can get back into the Wales squad. At 33 he may be looking to League One for his next club.
Jonathan Spector (Birmingham City) - At 29 it feels like he's been around for ages without ever being noticed. Has been in an out of the side at St Andrew's in the last two seasons.
Rodolph Austin (Leeds United) - Perhaps surprisingly released. Has been linked with Celtic and will probably have more attractive options than the Royals.
John Eustace (Derby County) - 35 and injury prone. So that's a no then.
Jamie O'Hara (Blackpool) - Never far away from the tabloids. Was player of the season at Blackpool which isn't that much of an achievement. Been linked with Fulham and Nottingham Forest.
Darren Pratley (Bolton Wanderers) - He must wake up every morning regretting leaving Swansea after they were promoted in 2011. Whilst the Swans have gone up and up, Pratley has gone down and down.
Dean Whitehead (Middlesbrough) - Finished the season being substituted at half time in the Play-Off Final after a torrid 45 minutes at right back. Burnley have been linked with Whitehead but he might appreciate the chance to move closer to where he grew up.
Paul Anderson (Ipswich Town) - Never lived up to the hype that emerged when he joined Liverpool as a youngster. At 26 he's not as old as you may expect. The sort of signing that would get Reading fans excited which says more about the club's decline than Anderson's talents.
Stephen Hunt (Ipswich Town) - Some say you should never go back. In this instance I tend to agree.
Kim Bo-Kyung (Wigan Athletic) - Highly rated at Cardiff but his career has stalled as he was caught up in the whole Malky Mackay being an idiot saga. Like Anderson would be a signing who could go both ways: either an excellent deal or you would soon realise why he's joined a Championship club who finished 19th on a free transfer.
Jacques Maghoma (Sheffield Wednesday) - Linked with a reunion with his former Burton manager, Gary Rowett, at Birmingham City. Always reminded me slightly of Michail Antonio.
Ben Pringle (Rotherham United) - Was heavily linked with Reading a few seasons ago. Turned down a new deal at Rotherham presumably in the hope of a move to a bigger club. I'd be very happy to see him arrive at the Madejski Stadium which probably means he'll receive more attractive offers elsewhere.
Jamie Ward (Derby County) - Another who would be a good signing for a lower Championship team. Linked with Nottingham Forest so we can probably forget it then.
Craig Davies (Bolton) - He's Welsh, plays in the Championship and is a striker yet can't get into the Wales squad when Simon Church can. Clearly needs to sort his career out.
Steven Davies (Blackpool) - Scored one of the best goals seen at the Madejski Stadium in 2014. Scored five times in just 11 starts for awful Tangerines but finished the season on loan at Sheffield United.
Noel Hunt (Ipswich Town) - See Stephen Hunt.
Craig Mackail-Smith (Brighton & Hove Albion) - Another whose career has stalled which is what makes him a realistic option for Reading. Only scored three times last season in 37 appearances.
Nicky Maynard (Cardiff City) - See Craig Mackail-Smith but add in the fact he's injury prone.
Luke Varney (Blackburn Rovers) - I'd be inclined to say we can do better.
The full list can be found here and is updated to Mid-May. Let us know your thoughts below on the players available.