League Two side Chester are hoping to complete deals for Eddie Johnson and Anthony Barry.
City owner Stephen Vaughan confirmed that the duo have been offered two-year contracts at the Deva Stadium, and remains confident of completing a double swoop.
Striker Johnson began his career as a trainee at Manchester United before taking in spells at Coventry and Crewe.
He was released by Bradford at the end of the 2007/08 season and is currently on the lookout for a new club.
Barry is a midfielder who has represented Coventry, Accrington and Yeovil during his short career.
Both men are currently mulling over the offer to join Simon Davies' squad, with a decision expected within the next few days.
"We've offered them both terms and it is the best we can put forward," Vaughan told the Chester Chronicle.
"Hopefully they'll accept."