After narrowly losing 14-7 to eventual winners Fiji in their semi-final, England produced a tired display to concede to two tries in each half.
Poor defence allowed Stephan Dipenaar and William Small-Smith to burst over in the opening period. Cornal Hendricks ran onto a clever kick through soon after the re-start to seal a result Branco Du Preez made even more emphatic at the death.
England had earlier enjoyed a 19-14 quarter-final win over Australia and, despite dominating for long periods against Fiji, were undone by the Pacific Islanders' razor-sharp finishing.
Fiji went on to win a thrilling final against New Zealand 35-28 and claim their third title of this year's Sevens World Series.
Wales had earlier suffered a 31-7 defeat to the Kiwis in their quarter-final while Scotland lost their Bowl semi-final to United States 28-14.
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