They kept in touch until early in the second half, however, as Dorian Jones slotted three penalties and Brok Harris touched down for a converted try.
Edinburgh then sped away to a 45-16 victory, largely thanks to the efforts of Sam Hidalgo-Clyne, but Jones was nevertheless keen to reflect on a successful European campaign.
"If you had told me at the start of the season that we would perform in the semi-final of this competition then I would have bitten your hand off," Jones told the South Wales Argus.
"But we needed experienced players to be in the mix - Rynard Landman, Andrew Coombs, Boris Stankovich, Lee Byrne, Pat Leach.
"Big players deal with pressure and deliver with accuracy time and time again. We didn't do that.
"We came back to 21-16 but there was just one, two, three, four errors and Edinburgh were back in our 22. You just can't do that.
"But that's life and we know exactly where we are. We are pleased with the competition in its entirety but saddened that we didn't show against Edinburgh what we can do."
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