The former world No.1 and winner of two Commonwealth Games gold medals shot 686 in the 72-arrow ranking round to equal the feat of London Olympics gold-medallist Ki Bo Bae of Korea.
Ki Bo Bae, who had won two gold medals at the London 2012 Olympics in the individual and team competition, had erased an 11-year-old world record when she got past fellow Korean Park Sung-Hyun's 682 at qualification of the Universiade in Gwangju in 2015.
The top seed Deepika will now play round three of last 32 directly, while her teammate Laxmirani Majhi who ranked a poor 45 and Rimil Buriuly (75) will start from round one. The women's team is ranked fourth.
Deepika's effort also enabled India to get a top ranking in mixed pair as she partnered 12th ranked Atanu Das (671 points) to defeat Turkey 5-3 in the first round of eight.
Korea were blanked 0-6 by second-ranked USA in the other semifinal.
In the men's recurve qualification, Atanu Das, Jayanta Talukdar and Mangal Singh Champia finished among top-20 to hand the team a third place.