Sami and wicket-keeper Zulqarnain Haider fought back with a 49-run stand for the seventh wicket, and Pakistan were 181 for 7 by the close of the second day's play.
Chasing 114 to win, Salman Butt and Shoaib Malik flayed the Australian opening bowlers, as Bracken ended with 4-0-26-0 and Mick Lewis with 3-1-19-0.
Scorecard from Pakistan Cricket Board Match drawn Australia A dominated the first day, mostly thanks to 146 from James Hopes, who had come in as a replacement for Phil Jaques.
The Pakistani bowling attack who had been so effective a week earlier had been replaced, with only Mansoor Amjad retained from the previous game, and the Pakistan A team had seven new faces.
A small fight-back by Hasan Raza and Zulqarnain, whose seventh-wicket stand was worth 29, was ended when the latter was caught by Hopes, and despite a six from Mohammad Sami, Pakistan A closed on 96 all out.
Yasir Arafat took two wickets with three balls for Pakistan, but Jaques remained confident, smashing ten fours in front of the square in his 64.
Umar Gul got the most wickets, dismissing James Hopes, Marcus North, Mike Hussey and Mick Lewis on his way to four for 51, while Mohammad Asif bowled five no-balls and still conceded 35.
Only two players made it past 15 for Australia; captain Hussey scored 31 and shared a 63-run stand with Cam White, who went on to make an unbeaten 106.
It was to be the highest score of the match, but though Lewis had Ashar Zaidi lbw for 12 in the fourth over, Pakistan A only lost one further wicket in chasing the target.