The team comprising Abhishek Verma, Chinna Raju Srither and Amanjeet Singh made the final after getting the better of USA's Reo Wilde, Steve Anderson and Braden Gellenthien 232-230 in a closely-fought semifinal.
Verma then coupled with Jyothi Surekha Vennam to enter the bronze medal play-off in mixed pair event.
However, Indian recurve archers, including Olympians Atanu Das and Deepika Kumari, cut a sorry figure as they bowed out of their respective events early.
Trailing by one point (116-117) after the second set, Indian compound men's team bounced back to clinch the third 60-57 with all perfect 10s including one X (closest to centre). They then held on to their nerves in the decider to clinch the issue.
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In the mixed pair bronze medal match, Verma and Jyothi with take on the USA. The duo lost to second seeded Korea 152 -158 in the semis.
In the first major competition after last year's Rio Olympics, Atanu and Deepika came up with poor performances in the recurve section.
Atanu made a quarterfinal exit after going down to Dutch debutant Steve Wijler, who later made a dream final by beating three-time Olympic medallist Im Dong Hyun in the semifinals.
Deepika also made an exit in the last-eight round after losing to Hayakawa Ren of Japan 1-7.
Men's recurve team lost to Japan 0-3 in the quarterfinals while women's recurve team, seeded sixth, made a first round exit after being beaten 2-6 by USA.
USA later advanced to the final.