The World No.25 needed one hour and 28 minutes to earn her sixth straight victory over Strycova, world No. 12, reports Efe.
Strycova won only a single match out of eight against Suarez Navarro, at the 2009 Mexican Open.
For a place in the third round, Suarez Navarro is set to face fourth-seed Elina Svitolina of Ukraine, who defeated France's Alize Cornet 6-2, 6-2 in the first round.
The Spanish player has won three of her six matches against Svitolina, world No. 4.
Also on Sunday, Monica Puig of Puerto Rico defeated Kazakhstan's Zarina Diyas 6-4, 2-6, 6-2 in one hour and 58 minutes.
Puig is set to play in the second round against the winner of the match between the Czech Republic's Petra Kvitova, 10th-seed, and Ukraine's Lesia Tsurenko.
(This story has not been edited by Social News XYZ staff and is auto-generated from a syndicated feed.)
