Having taken out the world's top one-day worldwide side with a historic win over England on Sunday, the Scots were looking to complete a stunning double by toppling a Pakistan team rated as the top Twenty20 nation.
Before defeat to Scotland, England had won six bilateral one-day series in a row.
England move on to the Oval next where they open a five-match series against Australia on Wednesday, and Morgan felt the shock defeat at the Grange would serve as the flawless warm-up for his players.
He said: 'We have got to enjoy the occasion.
But paceman Safyaan Sharif sealed Scotland's victory with seven balls to spare when he had No.11 Mark Wood plumb lbw to spark a pitch invasion by jubilant home fans.
"To be captain of the team is a huge honour and massive privilege, so I am just looking forward to getting into it on Wednesday", he said. The team racked up a colossal score of 371 for the loss of 5 wickets, which was also their highest score in ODIs.
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Add North Korea as an interest to stay up to date on the latest North Korea news, video, and analysis from ABC News . But he said sanctions would remain in place for now, and argued "we haven't given up anything".
Touring captain Tim Paine has asked England counterpart Eoin Morgan if both sets of players can indulge in the football-style ritual, as part of the visitors' charm offensive. Jonny Bairsto hit a brilliant 105 to become the first Englishman to post three successive ODI centuries. The addition of Sam Billings and Jake Ball as replacements for the injured Stokes and Woakes respectively should provide England with a good pool of players to choose from for the first encounter.
Scotland were unable to repeat their weekend heroics against England as Pakistan eased to a 48-run victory in Edinburgh.
MacLeod - his country's first centurion against England - timed the ball superbly in a magnificent 94-ball innings, but he was far from the only hero for a team who will not compete in the next Cricket World Cup after a controversial reduction in the number of competing nations.
"We were miles off where we expect to be and didn't do enough to win", he said.
Former Durham and Warwickshire batsman MacLeod said Scotland's first worldwide cricket win over England was a "massive statement".
This was Scotland's first match since March, when they narrowly missed out on qualification for the 2019 World Cup in England and Wales.