Chelsea moved onto the quarterfinals of the competition after winning the two legged tie 3-1 on aggregate.
Chelsea came out of the blocks firing and opened the scoring as early as the fifth minute when Oscar slipped Samuel Eto’o through on goal, and the Cameroonian made no mistake with a clinical finish from 12-yards out, 1-0 (2-1 on aggregate).
The Blues created their next chance on goal in the 21st minute after a free-flowing passing movement concluded with Oscar squaring the ball between the legs of Eden Hazard for Frank Lampard, but he poked his shot over from 12-yards out.
Ten minutes later Lampard picked out John Terry with a delightful free-kick into the box, but his header from ten-yards out skimmed the wrong side of the crossbar.
In the 41st minute Chelsea confirmed their dominance in the game when Gary Cahill doubled their lead.
Terry met a corner-kick with a ferocious header which was initially saved by the keeper, but Cahill was quickest to react as he toe-poked the ball home from close range, 2-0 (3-1 on aggregate).
The second 45 saw Chelsea continue to dictate terms, but heir finishing lacked something to be desired as they squandered numerous chances in front of goal.
In the 50th minute Lampard played Willian into space, but his shot from the edge of the box was well-saved by the keeper.
The Blues controlled the ball possession, but only created their next decent opening in the 83rd minute when a great acrobatic save from the Galatasaray keeper denied Hazard from 16-yards out.
Fernando Torres was also denied form close range in the 88th minute after being put through on goal by Hazard.
The match ended 2-0 on the night and 3-1 on aggregate as Chelsea marched onto the quarterfinals of Europe’s biggest cup competition.