Bindra, India's only individual Olympic gold medallist in 2008 Beijing Games, finished 15th in the qualification round with a score of 624.6. Sanjeev Rajput and Narang finished 25th and 26th respectively with scores of 623 and 622.9.
Bindra had finished 46th in the first Rifle/Pistol World Cup of the season in the South Korean city of Changwon last month.
Prakash Nanjappa, in particular, was in fine form, shooting a 566 to finish third in his elimination relay round.
In the women's 25m Pistol event, the Indian trio of Anisa Sayyed, Anu Raj Singh and Rahi Sarnobat also failed to make the cut for the final round.
Anisa finished 20th with a score of 577. Anu Raj Singh finished a point and two positions below Anisa while Rahi Sarnobat could only manage 29th spot with a score of 575.
