But the way that Edinburgh ended the Red Army's record-breaking run of 14 consecutive wins was a major bright spot in a campaign that has thus far seen them win only twice.
Matthew Scott and Steven Lawrie both touched down at Murrayfield while Greig Laidlaw chipped in with 19 points with the boot in a massively improved performance from the display against Aironi the week before.
And Bradley admitted afterwards that the work done by Smith during the week, particularly concerning the lineout, had been a major contributor to the result.
"Our line-out functioned very well," said Bradley of what was only Edinburgh's second win in ten meetings with the twice European champions.
"We changed a couple of things, Tom (Smith) brought in a couple of different line-outs and they worked. Munster would not have seen them before and it enabled us to get right into their ten or 12 channel and it opened things right up.
"But we must be realistic. That was not the strongest Munster side but they still played to the traditions of that side. Our two tries were exceptional and it's difficult when you have the wave upon wave of Munster players coming at you."
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