But the tourists needed seven balls to hit the nine runs needed to win.
And Bangladesh concluded the series unbeaten in St Kitts with seven balls to spare.
After the home side had raced to 167-1, Ryan Sidebottom (3-65) took three wickets in seven balls.
Paceman Mason then removed Matthew Spriegel, Gareth Batty and Stewart Walters in the space of seven balls.
The Leicestershire paceman finished India off with a spell of 3-10 in seven balls on a cloudy and oppressive morning.
But the Bears then successfully chased 176-6, winning with seven balls to spare thanks to Jonathan Trott's 46.
But Mohammad Asif's three wickets in seven balls either side of tea wrested the momentum back to Pakistan.
Flintoff fell first ball, to continue his poor run with the bat, with Davies claiming four wickets in seven balls.
Kent's attempts at a recovery were undermined by the departure of Smith and Andrew Symonds in the space of seven balls.
Johann Louw, batting at number nine, hit the first two balls he faced for six and raced to 23 off seven balls.
The Dragons triumphed with seven balls left as the two sides, unable to qualify for the quarter-finals, ended their 2008 tournament involvement.
Hants resumed needing another 155 from 17.3 overs, adding 16 before losing remaining frontline batsmen Nic Pothas and Dimi Mascarenhas in seven balls.
Sri Lanka chose to bat first after winning the toss, but were frustrated by a rain delay of one hour after just seven balls.
Morgan fell for 47 off 36 balls with seven runs needed but the Crusaders ambled home with 19 balls to spare.
Vaughan won the match in fine style with a dismissive pull to the boundary off Lee, who sent down a total of seven no-balls, some almost a foot over the crease.
Nathan McCullum, brother of Brendon, made just seven off 11 balls before seeing his leg stump uprooted by Gul, who again took two wickets in two balls as James Franklin was bowled playing across the line and Kyle Mills was caught by Shahzaib off a leading edge.
In Friday's second match, Delhi could only muster 98-8 and Victoria won by seven wickets with 20 balls to spare.
Alastair Cook (52) went soon after, having made the tour's first half-century off 67 balls including seven fours, when he was tempted into driving Willett's perfectly pitched delivery which spun through the gate.
Riaz took 5-63 in the first innings of his debut and claimed seven wickets in total in his two Test matches, bowling seven wides and 13 no-balls.
BBC: Police to question Pakistan bowler Wahab Riaz next week
Marcus Trescothick provided the highlight of Somerset's innings with seven sixes in his 76 off 35 balls.
BBC: SPORT | Cricket | Counties | Afzaal aggression sinks Somerset
He was seven over par and had hit three balls into the water.
Murtagh claimed figures of 6-44 from his 16.2 overs as Essex lost their last seven wickets for 30 runs in 72 balls.
Haddin hit five sixes and seven fours in his 110 off 121 balls and shared a stand of 151 with Ricky Ponting (69).
Notts made a blistering start with Swann clattering seven boundaries and three sixes from 42 balls, reaching 88-1 before the innings began to falter.
To torment the players further, the USGA shaved down the banks below seven of the greens, so that balls that just barely miss the putting surface, or are chipped just a smidge too hard, can sometimes race 10 to 20 yards away.
Mark Cosgrove got Glamorgan's reply off to a typically fast start, clubbing seven fours before departing for 34 off 33 balls.
Lara, 196 overnight, took a single and then drove Umar Gul through the covers for three runs to complete his double century off 241 balls, including 21 fours and seven sixes.
Edwards moved powerfully to a half-century off 69 balls, with a six and seven fours, only to give his wicket away immediately afterwards by lifting a Lamb full toss to James Tomlinson at mid-on.
Warner's heroics enabled Australia to set a challenging target despite losing seven wickets for 42 runs in the final 38 balls.
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