That defeat in Moscow fuelled the legend of Abramovich's craving to win, and his players' desire for redemption in probably their last shot at the trophy.
Chelsea's quest looked hopeless for much of the game, and certainly after Thomas Mueller broke dogged resistance with a header past Cech in the 83rd minute.
Mueller's goal sparked delirious celebrations among the Bayern players and fans who believed they were destined to win their home final.
They underestimated Chelsea's admirable resolve, and five minutes later Drogba soared to score with a header from Mata's corner.
Yet Drogba's taste for the dramatic flared up in the third minute of extra time, as he clipped Franck Ribery's heels in the penalty area, ending the Frenchman's night through injury.
Referee Pedro Proenca's decision to point to the spot seemed to stun the Bayern fans, and their anxiety was well founded.
Robben fired low to Cech's left, and the Czech 'keeper blocked with his arm and body, then reached across to collect the loose ball.
Bayern came agonizingly close in the 108th, when substitute Olic slipped the ball across the goalmouth but teammate Daniel van Buyten failed to anticipate the simple tap-in.
But Chelsea would not be denied, as Drogba recalled the Moscow heartbreak, and four other semifinal defeats.
"Always so close and so far, and today the cup is going to Stamford Bridge, and this is the best ever," Drogba said.
Bayern Munich: Manuel Neuer, Philipp Lahm, Anatoliy Tymoshchuk, Jerome Boateng, Diego Contento, Bastian Schweinsteiger, Toni Kroos, Arjen Robben, Thomas Mueller (Daniel van Buyten, 87), Franck Ribery (Ivica Olic, 97), Mario Gomez.
Chelsea: Petr Cech, Jose Bosingwa, David Luiz, Gary Cahill, Ashley Cole, John Obi Mikel, Frank Lampard, Salomon Kalou (Fernando Torres, 84), Juan Mata, Ryan Bertrand (Florent Malouda, 73), Didier Drogba.
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