Jeev, who had a modest 73 in the first round, had six birdies, four on the back nine, which was his first nine, and two more in the second half.
Shiv Kapur, who had a first round 72, slipped to 77 in second round and is certain to miss the halfway cut.
Meanwhile, Lee Westwood shot a brilliant second round 64 to take control. The World No. 3 from England fired eight birdies as he raced into a three-shot clubhouse lead.
Westwood's Ryder Cup teammate Peter Hanson was his closest challenger after the Swede carded a 68 after a first round 67. Hanson was nine-under, as was Lloyd Saltman (67-68).
Three others -- Ignacio Garrido (67-69), Maarten Lafeber (71-65) and Richard Sterne (69-67) were tied at fourth at eight-under. Overnight leader Magnus A Carlsson (65-72) was at seven-under.
Jeev had a tough first round as he shot a 73, which included three bogeys in a row from ninth to 11th.
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In the second round, Jeev teed off from tenth and birdied 12th and 13th and then added two more on 17th and 18th and he made it a hat-trick with another first. His last birdie of the day came on fourth and he finished at 66.
Kapur had a roller-coaster of a round with five birdies, four bogeys and three double bogeys in his round of 77. In his first round 72 he had five birdies and five bogeys.