London Olympics bronze medalist Nehwal was made to sweat by Chen Yufei as she defeated the Chinese 22-24, 21-15, 21-14 in a match that lasted an hour and nine minutes.
However, Olympic silver medallist Sindhu registered a straight set victory of 21-13, 21-10 over local player Hanna Raramdini.
If the two Indian ace shuttlers win their respective second-round matches, they will face each other in the quarter-finals.
In men's singles, India have lost the challenge as Parupalli Kashyap bowed out of the tournament after receiving a 18-21, 18-21 defeat from Malaysian Wei Feng Chong.
Sameer Verma also was knocked out of the competition following 16-21, 21-12, 10-21 defeat from Japanese Kazumasa Sakai. (ANI)