Carlisle United have offered midfielder Joe Thompson a six-month deal, although he has yet to sign the contract.
Thompson, who overcame cancer before joining Bury, played four games in League One last season in addition to four on loan at Southport.
The 26-year-old has been training with the Cumbrians squad this summer.
"Now he's got a bit of confidence and stability he can bed himself into the group," Carlisle boss Keith Curle told BBC Radio Cumbria.
"He's got a turn of pace and once he's integrated I think he'll show he can score goals and create them too."
Joining Kevin Osei, who signed on Tuesday, and potentially Thompson, could be winger Nicky Walker who has returned for a second trial at Carlisle.
The 20-year-old ex-Rotherham player left New York Stadium this summer, having made just three first-team appearances for the club, and none since 2012.
"He had a trial at Bradford and I think they said they had similar players, which gives us another opportunity to have a look at Nicky," Curle added.
"He's got great energy, good awareness, ability and a rawness I like, potentially he could be a project."