Former New Zealand international Meli had been tipped to follow departing Saints coach Mick Potter to Bradford.
Francis Meli, Gary Wheeler and Paul Wellens all crossed twice in Saints' 17th consecutive Cup win.
Another stock holding above its 50-day line is Latin American online marketplace MercadoLibre ( MELI).
Francis Meli set up Foster's second try, which he converted himself from the touchline.
Saints chief executive Tony Colquitt confirmed that Meli had been in demand elsewhere.
Francis Meli crossed early on for Saints but Kyle Eastmond failed with the conversion in windy conditions.
Francis Meli scored two tries in the second half for Saints while Leon Pryce also went over.
Jonny Lomax missed yet again with the conversion but set up Meli, who crashed over 14 minutes from time.
Wellens, 30, and Meli, 31, have signed two-year deals, while Queenslander Flannery, 30, has extended his stay on Merseyside for another season.
Late scores from Maurie Fa'asavalu and Francis Meli brought up the 50 points.
Latin Stock Investing editor Rudy Martin's top stock for 2010 is MercadoLibre (MELI).
And they then pressed the Castleford line, Meli used a clever dummy and drive from acting half-back to drive over.
But Eastmond once again came to the fore and finished decisively before Graham and Meli added tries six and seven.
Directly from the scrum the ball was spread out wide to Meli to go in but Long missed the extras.
Meli leapt highest to gather possession for a try which Lomax narrowly failed to convert from close to the touchline.
The first of Francis Meli's two was on nine minutes, with Wellens's two coming in four minutes just before the break.
Winger Ade Gardner reduced the deficit, before fine individual tries from centre Matt Gidley and winger Francis Meli handed the Saints victory.
Matt Gidley regained the lead for Saints, who added five second-half scores when James Roby touched down twice, along with Francis Meli.
Francis Meli's late try could not spare Saints' fourth straight Final defeat.
In a mirror of the first half, Saints burst out of the blocks in the second and once again Meli punished the visitors.
Smith's long pass let in Meli, lucky to still be on the pitch after a high challenge, to cross in the left corner.
Winger Meli gave Saints hope when, eight minutes into the second half, he took Lee Gaskell's long pass to cross unopposed at the corner.
Leeds then scored a second try when Meli - a player the Rhinos targeted throughout - failed to flick a McGuire grubber kick into touch.
Meli scored again for Saints before Pat Richards went over for Wigan but the Warriors were unable to give departing coach Brian Noble a fairytale ending.
Long's long pass wide exploited Amos Roberts stepping out of the Wigan defensive line and found winger Meli to ground the ball in the left-hand corner.
Matt Gidley had given Saints the lead after 10 minutes but Wigan went ahead on half-time when Sam Tomkins took advantage of a mistake by Francis Meli.
Saints twice led with tries from Paul Wellens and Francis Meli only for the Dragons to hit back with a devastating burst to lead 24-10 at the break.
Besides the son of the late civil rights activist, the group also includes former Met Ed Kranepool, the son of another former Met, Donn Clendenon, Jr. and Larry Meli.
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Francis Meli went over from close range but his side were made pay for another mistake just before the break when Coley pounced on a loose ball to score.
Scruton's sending-off proved a key turning point and Saints immediately made the extra man count with Wellens and Talau getting Meli over for his second try to make it 18-6.
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