This was Jeev's first top-10 finish of the year and it was similar to last year's sixth place he achieved at the same event.
Jeev birdied the first two holes and then added more birdies on seventh, ninth and 12th. But he also had a bogey on sixth and then a double bogey on 15th.
Lee Westwood posted a three-under 69 to cruise to his third victory at the Nordea Masters in a rare finish on the European Tour yesterday.
The Saturday finish was to enable players reach US in time for the US Open next week.
Westwood, whose first European Tour victory came here in 1996, was the only player in the field to post four rounds in the 60s and finished at 19-under 269. He won by five shots at Bro Hof Slott Golf Club.
It was Westwood's 22nd European Tour victory.
Ross Fisher managed a one-under 71 to take a distant second at minus-14.
Sergio Garcia threw a charge at Westwood in the final round, but was done in by going into the water on the 17th. The Spaniard carded a five-under 67 and shared third with Mikko Ilonen (68) and Peter Hanson (71) at 13-under par.
Joakim Lagergren posted a three-under 69 and took sixth at 12-under 276. Richard Sterne (68), Jeev Milkha Singh (70) and Felipe Aguilar (70) shared seventh at minus-11.
