Fly-half Adrian Davies, lock Greg Prosser, prop Ricky Evans and back- row forward Stuart Davies are other notable absentees.
The absence of Jones could well prompt him to go through with a move to Harlequins, with whom he has already signed provisional forms and is sitting out his 120-day qualification period.
"We haven't closed the door on anyone," Bowring insisted. "Robert has been very loyal and a terrific player for Wales in the past and now we are looking to some of these players for the future."
While Jones misses out, Bowring has sent recall messages to Gareth Llewellyn and Emyr Lewis, and there are call-ups for 15 uncapped players, including Bristol-based fly-half Arwel Thomas.
WALES SQUAD (v Italy, 16 January, Cardiff Arms Park): Backs: J Thomas (Llanelli), I Evans (Llanelli), W Proctor (Llanelli), S Hill (Cardfif), A Harris (Swansea), G Evans (Llanelli), G Thomas (Bridgend), L Davies (Neath), D Evans (Treorchy), M Wintle (Llanelli), M Taylor (Swansea), N Jenkins (Pontypridd), A Thomas (Bristol), M Lewis (Bridgend), A Moore (Cardiff), R Howley (Bridgend), P John (Pontypridd). Forwards: A Lewis (Cardiff), C Loader (Swansea), J Davies (Neath), L Mustoe (Cardiff), S John (Llanelli), C Anthony (Swansea), J Humphreys (Cardiff), G Jenkins (Swansea), R McBryde (Llanelli), D Jones (Cardiff), A Moore (Swansea), G Llewellyn (Neath), M Voyle (Newport), P Jones (Llanelli), H Taylor (Cardiff), S Williams (Neath), O Williams (Cardiff), E Lewis (Cardiff), A Gibbs (Newbridge), C Quinnell (Llanelli), M Spiller (Pontypridd), M Bennett (Cardiff), R Appleyard (Swansea), G Jones (Llanelli), C Scott (Neath).
HEINEKEN CUP Semi-finals (30 Dec): Leinster v Cardiff (Lansdowne Road, Dublin, 1.30pm), Toulouse v Swansea (Les Sept-Deniers, 2 pm). Final (7 Jan): Cardiff Arms Park 1.30pmReuse content