The unseeded Indian, playing under Protected Ranking (PR), beat his Serbian rival 6-1 6-4 in a second round match lasting an hour and 14 minutes.
Ranked 341, Yuki next faces Argentina's Agustin Velotti, who is ranked 190.
The Indian broke his rival five times in the match and lost his serve only once.
"I stayed solid and served well. I went for my shots when it was possible. I had good two wins and I am hoping to get more," Yuki told PTI after the match.
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