Serdarusic hit five aces, and had huge advantage over Li in winners at 19-4.
Uzbek veteran Denis Istomin, the No. 2 seed, had to bid farewell to the tournament after being stunned by Germany's Dustin Brown 7-6 (5), 6-1.
A total of 128 men's qualifiers are in contention for 16 berths in the main draw until Friday.
Chinese female players Xu Shilin, Peng Shuai, Liu Fangzhou and Zhang Kailin will go out on Tuesday, with Wang Xiyu and Lu Jiajing the remaining two from China in qualifiers, which features 96 players until Friday.
China's Wang Qiang, Zhang Shuai, Zheng Saisai, Wang Yafan and Zhu Lin directly enter the women's singles main draw this year.
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