Ecuador coach Luis Suarez, meanwhile, said his team would leave the tournament with heads high after reaching the last 16 for the first time.
"We gave everything for the Ecuadorean shirt. It was a very complicated match, very difficult and very ordered tactically," he said.
"Both teams haven't had a lot of chances to score. I think the match was defined by the only way it could have been defined, which was a set-piece play. We're calm with what we've done here. Eriksson told me we were a very good team and that if we go on this way, we'll improve a lot," Suarez said.
Earlier a lifeless opening 45 minutes saw England fail to create a single meaningful attempt on goal, two tame shots by Lampard and Rooney both easily saved by Ecuador goalkeeper Cristian Mora.
Better finishing from Ecuador striker Carlos Tenorio should have seen the South Americans take the lead on 11 minutes after a dreadful defensive blunder by England center-half John Terry.
Terry slipped and mis-hit a back-header to Tenorio, who raced clear with only Paul Robinson to beat.
But with the England keeper at his mercy Tenorio took just a fraction too long and his shot was deflected onto the bar courtesy of a superb sliding cover tackle from left back Ashley Cole.
That let-off was symptomatic of an error-strewn start by England, and their defense looked at sixes and sevens only moments later when an Ecuador free-kick created panic in the six-yard box.
Neither Terry nor Rio Ferdinand looked comfortable at set-pieces, and Robinson also failed to convince whenever the ball was crossed into the box, most notably when he flapped at a cross on 45 minutes.
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