The 21-year-old Polish world No. 1 on Wednesday saw off Australian Ajla Tomljanović, who retired in the second set due to a knee injury, trailing 5-7, 2-2 in their second-round match.
Świątek, who is the top seed in the tournament, had a bye in the first round.
Up next for the Polish tennis star in Ostrava is either home favourite Karolina Muchova or American Caty McNally.
Świątek last month won the US Open, claiming her seventh title this year.
(gs)
Source: IAR, PAP, Canal+ Sport