Noren shot 66 to finish on 12 under going into the final day, with England's Richard Bland, who led after day two, finishing two shots further back following a 69.
Bland goes into the fourth round one shot ahead of compatriot Andrew Johnston, Finland's Mikko Ilonen, Spaniard Alejandro Canizares and Frenchman Romain Langasque.
Former world number one Lee Westwood shot a three-under-par 67 while U.S. Masters champion Danny Willett carded a 70. Chris Wood, who will line up alongside his English compatriots in Europe's Ryder Cup team later this month, carded a one-over 71.
Holders Europe will be aiming to win the Ryder Cup for the ninth time in 11 editions when they take on the United States at Hazeltine, Minnesota from Sept. 30-Oct. 2.
(Writing by Simon Jennings in Bengaluru, editing by Ed Osmond)
