Celtic have signed defender Dedryck Boyata from Manchester City on a four-year contract.
Frenchman Manset left Swiss club FC Sion earlier this month and has now linked up with the Tykes for a week-long spell.
Manager David Flitcroft recognises that it will take some time for the 23-year-old to work up to the required level, but has indicated that he would be keen to complete a deal.
"He's trained with us, but he looked a little bit rusty," Flitcroft said in The Star.
"He's not ready now, which we expected but hopefully it won't take him long to catch up with the intensity."
Manset spent a couple of years with Hereford United before joining Reading in 2011 and later moving on to Sion.