The prolific left-hander made 221 as the hosts declared their first innings at 533-9 shortly before stumps, a lead of 82 runs over Pakistan's total of 451.
Left-arm spinner Rangana Herath then had opener Khurram Manzoor caught behind for three to reduce the tourists to 4-1 in six overs before the close.
Ahmed Shehzad was on one and nightwatchman Saeed Ajmal had yet to score when stumps were drawn, leaving Pakistan the task of batting out the final day to draw the opening encounter of the two-match series.
He fell in the post-tea session, stumped off spinner Abdur Rehman trying to pick up the scoring rate in the company of tailenders.
Pakistan's frontline off-spinner Ajmal, who went wicketless for 46 overs, grabbed five on either side of tea to finish with expensive figures of five for 166 from 59.1 overs.
Pakistan paid heavily for letting Sangakkara escape off the first ball of the day when Rehman spilled a chance at point off left-arm seamer Junaid Khan.
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