Jeev's 67 placed him tied-26th, while India's other entrant in the event, Shiv Kapur was 102nd after a round of one-over 71 yesterday.
Meanwhile, former Open Champion Paul Lawrie flirted with the first 59 in European Tour history in round one before signing for a nine under par 61 at Kennemer Golf and Country Club. The score was matched late in the day by Australian Wade Ormsby.
Jeev opened the day with a bogey and then struck a fine patch with three birdies in four holes between third and sixth. But he was once again pushed back with consecutive bogeys on seventh and eighth. An error-free back nine with birdies on 12th, 14th and 15th saw him claw back to three-under.
Kapur, starting on the tenth, had two bogeys to begin with but birdies on 13rth, 14th and 17th brought him under par. A bogey on first was nullified with a birdie on fifth. But a double on par-5 seventh saw him slip to 71.
Lawrie and Ormsby lead by one shot from England's Richard Bland, while five players including home favourite Joost Luiten and last week's runner-up in Russia, Estanislao Goya, are tied on seven under par.
American Tom Watson, playing in the Netherlands for the first time, opened with a one under par 69, while Martin Kaymer, the highest ranked player in the field, signed for a 67.