Sri Lanka require 153 runs for a series-levelling victory after Pakistan rode Azhar Ali's obdurate century before being all out for 329 on day four of the second Test on Sunday.
Murali Vijay and Cheteshwar Pujara eye top 10 places while Ravindra Jadeja jumps to career-best third position among Test all-rounders.
In terms of days, Dale Steyn has spent 2,320 days at the top of the ICC Player Rankings for Test Bowlers, the most by any bowler since World War II.
Virat Kohli dropped a position to 11th leaving India with no batsmen in the top 10 of the ICC Player Rankings for Test batsmen, in the latest update of the ICC Player Rankings released by the International Cricket Council on Tuesday.
Pakistan batsmen Mohammad Hafeez and Ahmed Shehzad scored fluent half centuries as the first Test against Sri Lanka ended in a tame draw on the fifth day in Abu Dhabi on Saturday.
India off-spinner Ravichandran Ashwin surged to the top of the MRF Tyres ICC Player Rankings for Test Bowlers after a superb outing in the first Test against the West Indies in Antigua which the visiting side won by an innings and 92 runs.
Pakistan off-spinner Saeed Ajmal picked up two wickets in the last session to restrict Sri Lanka to 220 for 5 at stumps on the first day of the third and final Test in Sharjah on Thursday.
In the ICC Player Rankings for Test bowlers, Australia's Ryan Harris has moved up two places to second following his six wickets against India in the fourth Test at MCG.