Sarjubala, a former world youth champion, defeated Grazieli de Jesus Sousa of Brazil in her opening bout.
Meena, on the other hand, got the better of Ethiopia's Gebremedihin Felekech Seifu in her first bout of the tournament.
Three Indian boxers will be seen in action tomorrow.
Commonwealth Games bronze-medallist Pinki Rani (51kg) will fight it out against Russia's Saiana Sagataeva in a second-round bout.
Pinki, who replaced an injured five-time world champion M C Mary Kom in the Indian team, had defeated China's Si Haijuan in her opening bout.
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