The reigning Six Nations champions are experiencing something of a fly-half injury crisis with Gareth Anscombe, Rhys Patchell and Owen Williams all currently sidelined through injury.
There are now fears Biggar will be the latest casualty to join those on the sidelines after he was withdrawn from Northampton's clash against Saracens at the weekend due to a knee injury.
Northampton director of rugby Chris Boyd has said the injury isn't serious but could still keep him out of this weekend's Six Nations encounter at Twickenham.
Jarrod Evans is Wales coach Wayne Pivac's only other fly-half in the squad currently but Newport director of rugby Dean Ryan has now revealed Davies is training with Pivac's squad in the build-up to Saturday's game.
"We don't know his selection as yet but he is in training," Ryan told BBC Sport.
Davies hasn't played international rugby since June 2017 and only has eight caps to his name.
Nonetheless, Ryan is confident he could perform if called upon by Pivac.
"Twickenham in the Six Nations is slightly different. But he has run sides before and has won games for us," he added. "It will be a huge experience for him and I will only tell him to enjoy and learn from it and hopefully keep getting back in it."