The 21-year-old from Ahmedabad dominated from the start and gave Fatma no chance of even putting up a fight.
The Indian will meet third-seeded Russian Marina Melnikova in the second round.
Former world Junior No.1 Ivana Jorovic of Serbia stunned fourth-seeded Tadeja Majeric of Slovenia 7-5 6-0.
Majeric lost her cool at the end of the first set and showed little will to battle it out against the 17-year-old Serbian after a high-strung first set.
Greek teenager Maria Sakkari posted a dominating 6-1 6-3 victory over Natasha Palha.
Sakkari's four USD 10,000 ITF singles titles this year, have seen her leapfrog from 610 to 298 on the WTA Singles rankings. She also has won four doubles crowns on the ITF Circuit this year.
The other three Indians -- Prarthana G Thombare, wild card entrant Bhuvana Kalva and Vaniya Dangwal -- who figured in the matches today bowed out after straight-set defeats.
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