Defending champion Rafael Nadal continued to chomp his way through the French Open draw on Wednesday and Roger Federer also maintained his smooth progress into the third round.
"It was a good match for the first two sets", said Nadal.
Federer, playing Roland Garros for the first time since 2015, beat lucky loser Oscar Otte 6-4, 6-3, 6-4. "It's been a great few weeks, and then if you feel like this during a Grand Slam where you felt good, it's just really annoying".
Nadal is considered to be the most prolific at the French Open, which is played on clay courts, with the world number two winning the tournament 11 times - remarkably losing just two matches there.
The 32-year-old Nadal was in near total control against world number 114 Maden bar some nervy moments in the third set, winning 6-1, 6-2, 6-4.
- Federer cruised through his opening match against Lorenzo Sonego on Sunday, and the 20-time Grand Slam champion is back on Court Philippe Chatrier to take on Otte.
"I think they practised together once, he told me, but he never played him", said Casper.
The 114th-ranked Maden broke Nadal twice in the fiercely contested third set on a sunny afternoon on Court Suzanne Lenglen, before eventually succumbing 6-1 6-2 6-4 in two hours and nine minutes. Speaking after his victory over Sonego, Federer said: "It's nice to be an outsider".
Dutch women's fourth seed Kiki Bertens retired from her match with Viktoria Kuzmova with illness while trailing 3-1, 40-15.
Federer claimed his one and only French Open title 10 years ago.
Cilic and Dimitrov were seeded third and fourth at Roland Garros past year, but both have fallen outside the top 10; Dimitrov is all the way down to No. 46.
Elsewhere on Wednesday, 2015 champion Stan Wawrinka showed that he cannot be ruled out of contention with an impressive 6-1, 6-4, 6-0 success against in-form Chilean Cristian Garin.
Sixth seed Stefanos Tsitsipas was given a stern examination by Bolivian Hugo Dellien before coming through 4-6 6-0 6-3 7-5.
In the next round, Nadal will be up against 27th-seeded David Goffin.
Tsonga, down at 82 in the ATP rankings after missing seven months of past year because of knee surgery, delighted the home fans with a 7-6 (4) 6-1 4-6 6-3 victory. Soderling kept fighting but he got broken three times in a row, including a crucial one in game 11 that moved Rafa a set away from the win with a hold in game 12.
Last year's runner-up Sloane Stephens cruised through with a 6-1, 7-6 (7/3) win over Sara Sorribes Tormo.