Jeev, who missed successive cuts at the Crowne Plaza International and the The Memorial Tournament before failing to qualify for the US Open, sank in five birdies against a couple of bogeys to make a decent start at the USD Purse 5.6 million tournament.
The Chandigarh-golfer was off to a fine start by striking a birdie on the third hole. He picked up another shot on the fifth before an eighth hole bogey had him one-under at the turn.
On his way back, Jeev stumbled to a bogey on the 10th but made amends by gaining strokes on the 13th, 16th and 18th to sign off a reasonably good day.
At the top, England's Lee Weswood sparked with a 63 to take the sole lead. American Casey Wittenborg was second with a 64, followed by Ireland's Padraig Harrington (65).