And ahead of tomorrow's RaboDirect PRO12 clash with the Scarlets, Burton feels there is still a lot more to come from Franco Smith's side.
He said: "Winning outside Italy was one of our main objectives for the season so we are pleased with that.
"I don't really worry about the fact I score the points, I'm the fly-half so it's my job.
"I missed an early penalty so in a way I could have made it easier if I'd kicked that one.
"The good thing was that we won the game, but we all know there was a lot which we need to work on.
"Both teams made errors and we were nowhere near our best, but it's great to get a win under our belts."
Burton and his colleagues had struggled to live up to the heroics of last season where they saw off then reigning champions Leinster as well current champions Munster at the Stadio Monigo.
And with Nigel Davies' Scarlets another side who were downed in north-east Italy, Burton is optimistic Treviso can continue their good run.
He added: "With the exception of our game against Cardiff we know we could have won every game, so we've got to target a win against the Scarlets.
"Against the Ospreys we conceded a late try to lose and we know we had it in us to beat Connacht in that first game.
"We've got to work on keeping things simple if we want to pick up another win at home to the Scarlets."
Burton has kept his place in the Treviso side despite the arrival of former Leeds fly-half Alberto Di Bernardo.
But despite the arrival of the Argentine-born Italian, the 31-year-old Burton does not consider he is under pressure to perform.
"I don't really think of it as pressure with Alberto arriving," added Burton, whose adopted country lost to the country of his birth in the opening Pool C game of the World Cup.
"I just need to do what the coaches ask of me and there's nothing else I can do.
"It was quite strange watching the Italy-Australia game for me. I still want Australia to win when they play, but obviously I cheer on the Italians as well.
"In the end the Australians were the better side, so it was a fair result but it's still a strange situation."
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