In one of the greatest upsets in recent memory, the team from Lisbon defeated the favourites 3-2 on aggregate to reach their first final.
Manager Carlos Mendes said his players had "written a new chapter in our club's history" after a dramatic second-leg victory.
The final in Munich promises to be a spectacle, with ticket demand breaking all previous records for the competition.
Former players and pundits have praised the team's tactical discipline and never-say-die attitude throughout the campaign.
