Her next opponent will be Russia's Maria Sharapova (WTA 48).
Hopes are getting higher for two of Latvia's contestants at the Australian Open as 2017 Roland-Garros winner Jeļena (known in Latvia as Aļona) Ostapenko breezed through the first round and will face China's Duan Ying-Ying (WTA 100) in the second.
The Australian Open in Melbourne takes place until January 28 with a prize pool of around €36 million.