Rise to beat sixth seed konjuh of croatia 5-7 6-0 6-3
With Katie's win at Lyon, England advance to the round of 16.
Securing her place in the next main round, the 25-year-old will face Anna Bondar of Hungary.
Heather Watson, her English teammate, won her first-round match at the Monterrey Open, beating Jule Niemeir of Germany.
Watson, ranked 107th in the world won 6-3 2-6 7-6 (7-4) and is trying to get back-to-back matches in the WTA main draw for the first time this year.
And will face Spain's sixth seed Nuria Parriraz Diaz or Japan's Misaki Doi.
Elina Svitolina from Ukraine will face Russian tennis players in the tournament.
However, due to the Russian invasion players from Ukraine refused to play Russian or Bellarussian players until they were said to be neutral.
And now the nationality of the Russian player has been removed from the website. Their ranking list - but still not comment publicly on Svitolina's demands.
