Chandra defeated Belgium's Tomaz Skalski 4-2 in the 15-Red format, while Shahbaaz Adil Khan and Brijesh Damani lost their respective matches in the men's section.
Khan went down 2-4 against Brenden O'Donoghue of Ireland and Damani was tamed by Germany's Roman Dietzel with an identical scoreline.
In the women's category, Varshaa Sanjeev became the first Indian to qualify for the next round as she blanked Maria Buckaraska of Ukraine 3-0.
Chitra M and Neena Praveen too were successful in conquering Yu Ching of Hong Kong (3-1) and Irina Gorbataya from Russia (3-1), respectively.
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Nigel Lazar, too, lost to Murat Ayas 1-3.
Results:
Men's section: Manan Chandra beat Tomaz Skalski (Belgium) 4-2 (75-44, 0-88, 46-56, 80-17, 82-14, 51-7)
Brenden O'Donoghue (Ireland) beat Shah Baaz Adil Khan 4-2 (50-72, 68-16, 6-88, 25-56, 61-33, 15-71)
Roman Dietzel (Germany) beat Brijesh Damani 4-2 (41-70, 82-5, 69-64, 49-61, 44-69, 31-65)
Women's: Chitra M (India) beat Yu Ching (Hong Kong) 3-1 (51-63, 80-58, 69-20, 74-25)
Neena Praveen (India) beat Irina Gorbataya (Russia) 3-1 (55-13, 56-43, 39-70, 81-58)
Masters: Nigel Lazer lost to Murat Ayas 1-3 (24-75, 48-62, 55-33, 53-60)
S A Saleem lost to Ian Sergeant (Wales) 3-2 (74-51, 65-27, 62-63, 97-0, 97-0).