The German club also appeared on the verge of scoring at the start of the second half on a header by striker Lewandowski and a shot by Thomas Muller, although good defensive work by defender Clement Lenglet and Soria, respectively, stymied those opportunities.
But Sevilla, which needed two goals after dropping last week's first leg of the quarter-final clash 1-2 at the Ramon Sanchez Pizjuan Stadium in Seville, had no choice but to get on the offense and began pushing the action into Bayern's half of the field.
That aggressive mindset was nearly rewarded immediately when a free kick by Ever Banega at the game's one-hour mark found Correa, who connected on a near-perfect header that ricocheted off the crossbar.
But like a well-oiled machine, Bayern shook off that danger and got back to dominating the ball or clamping down defensively when necessary.
The very end of the contest featured some drama, with Correa causing tempers to flare and finally being sent off for a hard foul on Bayern's Javi Martinez in second-half injury time.
With the win, the Bavarians advanced to the Champions League final four for the seventh time this decade.
They will learn their next opponent when the semi-final draw is conducted on Friday.
Despite the loss, the La Liga team proved a formidable rival for the German powerhouse.
"We made Sevilla very proud, and now we can think about what's to come. We were missing what we've been lacking in the last few games - scoring goals, which is the most important thing in soccer," attacking midfielder Franco Vazquez said afterward.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)