Coming back after recovering from an injury, Kashyap, seeded 16th, defeated Peru's Daniel La Torre Regal 21-11 21-9, while second seed Prannoy beat Mexico's Job Castillo 21-13 21 -15 in another men's singles match at Markin MacPhail Centre.
Kashyap will meet Japan's Koki Watanabe, while Prannoy will square off against Scotland's Kieran Merrilees.
Among others, Lakhanee Sarang eked out a 21-9 17-21 21-7 win over local shuttler Eugene Chan, while Abhishek Yelegar saw off Vietnam's Hoang Nam Nguyen 21-15 21-5 and Karan Rajan Rajarajan outclassed Croatia's Zvonimir Durkinjak 13-21 21-10 21-13.
It was however curtains for Harsheel Dani after he lost 11-21 7-21 to France's Lucas Corvee, seeded 11th.
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