National champion Ankush Dahiya (60kg), Ashish Kulhirya (64kg) and Reyal Puri (81kg) fetched silver medals for the contingent, while Manjeet Singh (+91kg) contributed the solitary bronze to the tally.
The performance helped India finish behind Kazakhstan (6 gold, 1 silver and 3 bronze) and Uzbekistan (3 gold, 3 silver and 3 bronze).
All the Indians, who made the medal rounds, lost either to a Kazakh or an Uzbek boxer.
Puri was beaten 0-3 by Uzbekistan's Sanjar Tursunov. Earlier, Manjeet lost 0-3 in the semifinals to another local favourite Nurdaulet Ulanuly.
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In other bouts of the evening, Manish (60kg) of SSCB set up a second-round clash with World Championships bronze-medallist Shiva Thapa after winning his opening bout against Telangana's Lalit Kishore.
The referee had to stop the contest in the third round due to Manish's dominance in the bout.
Asian quarterfinalist at the youth level, Ashish made an impressive debut on the senior stage by outclassing his rival in the first round itself to advance to the light welterweight second round.
Ashish is the cousin of former Commonwealth Games bronze-medallist Jai Bhagwan.