The world number 53 enjoyed a comprehensive victory in the first round of the first WTA event of the 2013 season.
Robson, seeded seventh, will now face Romania's Monica Niculescu in the second round after she defeated China's Saisai Zheng, with Jelena Jankovic potentially awaiting in the quarter-finals.
Fellow British hope Anne Keothavong made it into the first round of the Chinese event with a 6-3 6-4 victory over Italy's Nastassja Burnett in the final round of qualifying.
First-round results, Shenzen Open
4-Hsieh Su-Wei (Taiwan) beat Melinda Czink (Hungary) 6-3 6-2
7-Laura Robson (Britain) beat Edina Gallovits-Hall (Romania) 6-2 6-1
Annika Beck (Germany) beat Garbine Muguruza Blanco (Spain) 6-2 6-7(7) 6-4
Monica Niculescu (Romania) beat Zheng Saisai (China) 6-4 7-5