Pakistan were 81-0 at tea without losing a wicket after Misbah-ul-Haq won the toss and opted to bat in the second ever day-night Test, played with a pink ball instead of the traditional red, at Dubai stadium.
Ali, playing his 50th Test, was unbeaten on 38 and Aslam was 37 not out as West Indies' pace-cum-spin attack failed to strike on a flat grass-less pitch which is expected to take spin after three days.
It couldn't have been a better start for Pakistan in a match marking their 400th Test, as they won a crucial toss and were given a rock solid start against the West Indies who enterted the Test with three seamers and two spinners.
Pakistan gave Test caps to middle-order batsman Babar Azam and allrounder Mohammad Nawaz.
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Ali, who has so far hit five boundaries, had a life when Leon Johnson failed to hold on a sharp chance at gully off paceman Miguel Cummins on 17.
Aslam has so far hit three boundaries in his 82-ball stay.
The remaining two Tests will be played in Abu Dhabi (October 21-25) and Sharjah (October 30-November 3).