Bristol have continue their great form from the English Premiership on Friday when they beat the Dragons 56-17 in their semi-final European Challenge cup.
It was not the best start to the game for the English side but two quick tries by Earl halfway through the first half that started t wing the game towards Bristol.
A penalty just before the break from Sheedy gave Bristol a 24-10 lead going into halftime.
The second half was all Bristol with Sheedy who broke the line and send the ball to Radradra who beat two defenders to get over for his try.
The Dragons got one back with Williams getting over but that was short-lived with Bristol ramped in the last 20 minutes.
Minutes later Malins got his try before Thomson completed the scoring after a quick tap and gave him the easiest of tries in the corner.
Bristol will now face the winners between Bordeaux-Begles and Edinburgh in the semi-final taking place on Friday.
|Bristol Bears (24) 56|
|Tries: Hughes, Earl 2, Radradra, Vui, Malins, Thomas Cons: Sheedy 6 Pens: Sheedy 3|
|Dragons (10) 17|
|Tries: Hewitt, R Williams Cons: S Davies 2 Pens: S Davies|