May 29 (UPI) -- Nadal dispatched of German counterpart Yannick Maden 6-1, 6-2, 6-4 in his second round matchup at Roland Garros. Stephens swept through Spain's Sara Sorribes Tormo 6-1, 7-6(3). Stephens also won her first round match in straight sets, beating Japan's Misaki Doi on Sunday in Paris.
Nadal eliminated German Yannick Hanfmann in straight sets on Monday in his first round matchup at the Grand Slam.
"Obviously played well both matches, so just happy to be back in a good position in a slam," Stephens told reporters.
Nadal battles David Goffin in his third round match on Friday. The Spaniard is on a quest to win his third consecutive title at Roland Garros. Nadal has a record 11 French Open titles overall during his decorated career.
Stefanos Tsitsipas also advanced into the third round by beating Hugo Dellien in four sets on Wednesday. Kei Nishikori beat Jo-Wilfried Tsonga in his round of 64 match to advance in the men's circuit.
World No. 2 Karolina Pliskova beat Kristina Kucova in straight sets to advance in the women's bracket. No. 9 Elina Svitolina advanced to the third round after opponent Kateryna Kozlova retired from their matchup.