Substitute Tai Enosa's late try completed the recovery act for a 32-25 victory to give the Eagles bragging rights ahead of their World Cup pool clash against Russia in New Zealand later this year.
Skipper Todd Clever and centres Paul Emerick and Andrew Suniula also touched down for the Eagles, while fly-half Nese Malifa kicked 12 points.
Wing Vasily Artemyev, who will join Northampton after the World Cup, capped a top-class individual display by claiming one of Russia's three touchdowns.
But the Eagles, coached by former Ireland supremo Eddie O'Sullivan, were not to be denied as they ended the tournament on a successful note following their opening weekend 87-8 defeat against England Saxons.
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