However, the other two Indians who made the cut, Anirban Lahiri (71) and Digvijay Singh (78) slipped down.
Jeev after a par-par start birdied three of the next five holes but a bogey on eighth set him back. He birdied 12th but gave that back on 13th, before finding two more birdies on 16th and 18th for a 68.
Lahiri birdied the second, third and seventh and was three-under through 10 holes. He then ran into trouble with a double bogey on 11th, but a birdie on 14th served him well.
However, he dropped a shot on 18th and ended at 71 to be one-under through 54 holes and in tied 35th place.
Digvijay had a nightmare in the middle of the round when he triple bogeyed the ninth and tenth holes and ended at 78 to be five-over for three rounds and tied 68th.
Austria's Bernd Wiesberger broke free of the chasing pack when he signed for a seven-under-par 65 to take the third round lead. (MORE) PTI Cor CM