Dublin-born Morgan hammered 67 not out from 51 balls, including a match-clinching six, and Pietersen a more restrained 43no as they dragged their side back from serious trouble on 18-3.
The bowlers had earlier impressed with a disciplined effort in the field, restricting Pakistan to 129-8.
England were unchanged from the side that lost on the final delivery against England Lions earlier in the week, while the world champions were without regular captain Shahid Afridi, who was serving the second of a two-match ban for biting the ball against Australia last month.
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