The 35-year-old Mary Kom, who is also an Olympic bronze- medallist, defeated local favourite Diem Thi Trinh Kieu in a split verdict in the opening round of the light flyweight (48kg) category.
The four-time gold-medallist at this event is making a return to her preferred weight division after competing in the 51kg category, which was made an Olympic category before the 2012 Games.
Also entering the quarters was Shiksha (54kg) after she defeated Mongolia's Oyun-Erdene Nergui in her opening bout. She will square off against Ferangiz Koshimova, who got a first-round bye.
The pace picked up in the second round and the Indian veteran was on top with her clean straights. Mary Kom's reflexes were sharp and she kept maintaining the right distance to deny Kieu a clear shot at her.
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The local favourite, backed by a partisan crowd, gave a better account of herself in the final three minutes. But Mary Kom also stepped it up with some telling combination blows to throw Kieu off-balance.
A total of 107 boxers from 20 countries are competing in the continental meet where India are placed third in the all- time medals' list with 19 gold, 21 silver and 20 bronze.