The Ravens were defeated 37-12 in that competition, but are top of the Welsh Premiership with five wins from five games.
Last weekend's surprise 19-5 victory over current Welsh champions and European high-flyers Llanelli, will have give Bridgend fans hope that this could be their year.
Director of rugby Allan Lewis has kept faith with last week's side making just one change.
Dafydd James is back after having two months on the touchline with appendicitis, the Lions and Wales international starting on the left wing in place of Aisea Havili.
Cardiff, who impressed against Swansea last weekend after a surprising poor showing in the Heineken Cup, have made just one chance that sees Emyr Lewis returning from injury to replace Dan Baugh at No.8
Cardiff have been plagued with untimely injuries all season, and Robin Sowden-Taylor, Nicky Robinson and Andrew Lewis are added to the casualty list.
Former Wales captain and now Cardiff coach Dai Young said.
"Our injury list continues to be horrendous and our options in the squad are being stretched to the limit."
Cardiff: Rhys Williams; Nick Walne, Jamie Robinson, Matt Allen, Craig Morgan; Iestyn Harris, Richard Smith; John Yapp, Peter Rogers, Tim Payne, Heino Senekal, Adam Jones, Dan McShane, Martyn Williams (capt), Emyr Lewis.
Replacements: Aled Jones, Greg Woods, Luke Tait, James Malpas, Dean Dewdney, Ryan Powell, Anthony Sullivan.
Bridgend: G Cull; R Mustoe, D Bishop, G Thomas (capt), D James; C Warlow, S Martens; C Loader, G Williams, C Horsman, A Moore, D Jones, N Budgett, R Bryan, C Harris.
Replacements: M James, H Harries, S Mannix, P Booth, J Thiel, B Phillips, M Molitika