Singh finished the first day of qualifying in the men's Skeet with a score of 74 out of a possible 75.
Meanwhile, Mairaj Ahmad Khan, who qualified for Rio Olympics, shot 73 to lie 18th while Sheeraz Sheikh was placed 31st with a score of 71.
Among others, Indian shooters Lajja Gauswami and Anjum Moudgil missed out on qualifying for the final of women's 50m rifle 3 position.
In women's Skeet, Rashmee Rathore shot 67 out of 75 in qualifying round to finish in 22nd place, while Maheshwari Chauhan ended 26th with a score of 65 and Arti Singh Rao scored 61 to finish 32nd.
Rio-bound Jitu Rai had won the silver in 10m Air Pistol event in this edition of the World Cup.