The 39-year-old Italy goalkeeper saw his dream shattered as Juve went down 4-1 to Real Madrid in Cardiff.
Buffon has won 22 trophies in a glittering career – including a World Cup – but has never managed to lift the Champions League pot.
He will retire next summer and knows time is running out, saying: “I still have one more year on my contract, so that means I have one more chance.
“Admittedly, it’ll be tough to do better than this year, because we could’ve done something truly incredible this season. Unfortunately, we didn’t manage it.”
Juventus’ defeat was the seventh time they had lost in the final – a competition record – but manager Massimiliano Allegri said it was not the end of the road for his side.
Gianluigi Buffon will retire next summer
Gianluigi Buffon admits it will be tough to repeat their success this past season
I still have one more year on my contract, so that means I have one more chance
“No I don’t think Juve has reached the end of a cycle at all,” he said.
“Buffon will still be goalie next season and Barzagli with be with us for another year.
“They still have lots to give this club. But we can improve the team.”
Get Quotes on Home Insurance
Buffon and his team-mates were in shock after being told of the stampede horror which injured around 1,400 of their fans back home.
The Juve players were unaware of what had happened in one of the main squares in Turin until well after their 4-1 Champions League defeat to Real Madrid.
Juventus’ Champions League player ratings against Real Madrid Sat, June 3, 2017
Express Sport brings you Juventus’ player ratings from their Champions League player ratings against Real Madrid
Play slideshow REUTERS 1 of 11
Gianluigi Buffon – 5.3
Thousands of Italian fans watched the game screened live on a big screen in one of the city’s main squares. Ten minutes from the end of the game panic swept the Piazza San Carlo when what is now believed to have been a firecracker sparked fears a bomb had gone off.
Panic-stricken fans fled, trampling people in the rush to get away. At least seven people, including a seven-year-old boy, are believed to have been seriously injured with many others were treated for cuts, bruises and sprains.
Screams filled the night air and afterwards shoes, bags and personal belongings littered the ground as the full extent of what had happened began to sink in.
Police are now carrying out a detailed investigation with suggestions that a barrier gave way.
For some it brought back dark memories of the 1985 Heysel disaster which happened at Juventus’ European Cup clash with Liverpool and claimed the lives of 39 people. Supporters, mostly Italians were crushed when a wall collapsed in the rush to escape fighting.