The Manchester United striker came off the bench in last season's final in Rome but squandered a late headed chance as the holders crashed to a 2-0 defeat to Barcelona.
After joining United with the ambition of playing in Europe's premier competition, the former Spurs forward understands lifting the famous trophy is an achievable goal at Old Trafford.
The Bulgaria captain scored twice in the 4-1 win in Malta in midweek to become his country's record goalscorer, overtaking Hristo Bonev's mark.
With 48 goals in 74 appearances, he is one of the deadliest international marksman in Europe but saw his country fail to qualify for the World Cup.
"I'm happy with the record because it was one of my goals," he said on Thursday.
"I've achieved a lot and now the Champions League remains my only unrealised dream.
"I took part in two finals and failed to win it so now I hope to make it third time lucky."
Berbatov also figured for Bayer Leverkusen when they were beaten by Real Madrid in 2002.