England finished third in the final IRB Sevens World Series table after being overtaken by Edinburgh champions Fiji.
Ben Ryan's men had a mathematical chance of winning the world title after their dramatic victory in the London Sevens at Twickenham last weekend.
But England were knocked out of the main cup competition by defeats to Scotland and Kenya on Saturday and had to settle for winning the bowl at Murrayfield.
Fiji snatched second place in the table with a 20-19 victory in the cup final over South Africa, who had already clinched the world series title on Saturday.
England beat France 26-15 in the bowl final and captain Ollie Phillips was proud of his side's achievements in a season which brought tournament wins in London and Wellington.
"We've had a fantastic season and coming third in the IRB series is a massive achievement," said Phillips, who has been shortlisted for world Sevens player of the year.
"Yesterday (Saturday) was very disappointing but we had to come back today and get on with it and win the bowl and that's what we did.
"South Africa have been dominant all season and are worthy winners."
Scotland, featuring full internationals Ally Hogg and Sean Lamont, went on from beating England to reach their second successive semi-final but lost to South Africa in sudden death extra time.
Wales reached their first World Series semi-final of the season and took a 7-0 lead over Fiji before the eventual tournament champions hit back to win 28-14.




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