The 19-year-old Saurabh scored 220 in the final after qualifying with a score of 581. Compatriot Abhishek Verma finished fifth in the same event with a score of 179.3 after also shooting 581 in the qualifying.
Graded as 'B' category event by World Athletics, the five-day event offers some of the top athletes the chance to either breach qualifying standards for an automatic Olympic berth or garner valuable ranking points to make it to the Games.
Atanu and Deepika, who are India's best medal hope in the upcoming Tokyo Olympics, were at their best to make their first final together where they will face the Netherlands in the summit clash on Sunday.
The Portugal captain netted a pair of penalties in a 2-2 draw with world champions France in Budapest to send his team through as one of the four best third-placed sides on a dramatic night in Group F.
After two tension-filled draws against Sweden and Poland, Spain were left scrambling to qualify, with Luis Enrique admitting he would have taken any position in the group as long as it meant going through.