The WTA event is the first tournament organised by the association since the suspension of competitive tennis due to the coronavirus pandemic.
Williams looks as though she might fall at the hands of her own rustiness as she went down 6-4 in the first set as she prepared for the upcoming US Open.
Murray set to miss French Open - reports
However she fought back to break her opponent in the last game of the second set to level at one set each.
The next set was far more comfortable as the 38-year-old former world number one won at a canter, six frames to one.

US Open: Serena Williams favourite to win record-equalling Slam

ATP Rome doubles
Murray and Broady bow out of ATP Rome Doubles
13/05/2021 AT 16:12
Kenin and Garcia deserve respect for finding strength to split from father-coaches
13/05/2021 AT 13:45