However a late penalty from George Ford gave Bath the win, and leaves Leinster up against it if they are to make the quarter-finals, with a double confrontation against Toulon coming up in December.
They will now turn their attention back to the GUINNESS PRO12, where they are currently fourth ahead of a derby clash with Ulster next weekend.
"There was a bit of flak after last weekend, but we certainly got a better performance today. They showed a good bit of steel and desire, the way they fought back into the game," Cullen told the Irish Times.
"After getting back to 16-16, I thought we looked the stronger team at that stage.
"People need to stay patient with us. There were a lot of good things out there, but unfortunately, we didn't get the result," he added.
"It is going to be tough. We just need to park Europe for the next couple of weeks, and try to get a bit more confidence in the Pro 12."
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