A 10th tee starter, Jeev's two birdies against an equal number of bogeys took his overall total to two-under 138.
Atwal was a stroke adrift at tied 68th after bartering two birdies for two bogeys.
Off to a subdued start, Jeev stumbled to his first bogey on the 16th to make the turn one-over.
But his front nine turned out to be slightly better as he fetched birdies on the second and sixth holes before closing it off rather disappointingly with a bogey on the ninth.
Atwal had a similar day but he managed to spread his birdies and bogeys evenly on each nine.
On top of the leaderboard, American Dean Wilson (65) and South Africa Tim Clark (64) shared the lead at 10-under 130.