Andy Robinson has predicted greater successes for his Edinburgh side after they secured their first Heineken Cup win of the season.
Webster (centre) scored a try on his return from injury
"The work-rate and positive attitude of the players has been professional in every sense," said the coach after the 29-10 victory over Leinster.
"And I am genuinely excited about what these guys can achieve in the future.
"We can now look ahead with increasing confidence to our remaining pool matches and the Magners League."
Edinburgh remain bottom of Pool Six.
But the win dented the Irish province's qualification hopes, a result that delighted Simon Webster on his try-scoring return from a two-month injury lay-off.
"I was really pleased with the win and, to be honest, I didn't really have to do too much with my try - it was just an awesome backs move," said the Scotland winger.
"It was a performance we can be proud of, but we can still look back and say we could have done better.
"There was plenty to be encouraged about, but there is still room for improvement."