The veteran shot-stopper remains desperate to win the one piece of silverware missing from his trophy cabinet before he ends his career
The Italy international came close to winning European club football's elite competition in 2002-03 when the Turin giants were eventually beaten by AC Milan on penalties, but Buffon has failed to come close in the past decade.
The Bianconeri were seen as one of the dark horses to win the competition this year, but failed to progress from the group stages as Real Madrid and Galatarasaray proved to be too strong.
Nevertheless, Buffon remains hopeful of winning the Champions League before the end of his distinguished career.
"I dream about winning the Champions League and have been doing so for ages. I was dreaming about it as a kid and during my 17 years as a professional. It's my main goal and I hope that I can fulfil my dream," the 35-year-old told Corriere dello Sport.
"We already have a team that can do a good job in Europe. We are competitive and we could do well in the Champions League, but teams like Bayern, Madrid and Barcelona have a few more stars.
"We showed this year that we have the potential to do well, but we have to focus on other things again now."
Juventus finished third in their Champions League group to qualify for the Europa League round of 32, where they will meet Trabzonspor.