Top seed Ashleigh Barty, eighth seed Karolina Pliskova and 25th seed Angelique Kerber were the headliners moving on among the 22 matches played while 17th seed Kiki Bertens and 28th seed Alison Riske were eliminated.
World number one tops Suarez Navarro on Spaniard's finale
After a 15-minute delay to close the roof, Barty, who led 2-1, swept through the remainder of the set and she broke in the ninth game of the second set to go in front 5-4.
Suarez Navarro broke and in the ensuing tiebreaker, dominated to level the match before the Aussie won the first 13 points of the final set, eventually a forehand winner closed out the match in one hour, 43 minutes.
"More than anything, it was a great battle", Barty said following the match. "I think all credit goes to [Suarez Navarro] for her resilience and her nature as a competitor, to be able to come back from the adversity she has, and to be able to have that moment with her was nothing short of remarkable."
Suarez Navarro reflected on her finale at the All-England Club as she received a standing ovation leaving the court.
"I think Wimbledon made me a really good gift. I cannot ask for anything else better than this day. One of my last matches here against Ash, no. 1 of the world, Center Court with the roof. Was amazing.
"I really enjoy everything I pass through. I think now, today, I am the most happy player in the tournament, for sure. I really appreciate it. The crowd was amazing. I am in love with this tournament, this court and the crowd."
Former champion, Pliskova reach round two
Pliskova, out of the top ten in the rankings for the first time in five years, won 82 percent of her first serve points, fired ten aces and converted all three break points in a 7-5, 6-4 victory over Roland Garros semifinalist Tamara Zidansek.
Kerber looked impressive as she opened her bid for a second Wimbledon title with a 6-3, 6-4 triumph over Nina Stojanovic.
Krejcikova, Gauff, Jabeur among other seeded winners
Roland Garros champion Barbora Krejcikova won her eighth straight match at a major as the 14th seed cruised past Danish teenager Clara Tauson 6-3, 6-2. 15th seed Maria Sakkari crushed Arantxa Rus, 20th seed Cori Gauff fought off a spirited challenge by Francesca Jones to win 7-5, 6-4 while 21st seed Ons Jabeur crushed Rebecca Peterson 6-2, 6-1. 22nd seed Jessica Pegula had no problems with Caroline Garcia, easily winning 6-3, 6-1.
Finally, former semifinalist Elena Vesnina got by Martina Trevisan 7-5, 6-1, Anna Blinkova breezed past Timea Babos 6-2, 6-2, Andrea Petkovic moved on with a 6-4, 6-3 victory over Jasmine Paolini and Liudmila Samsonova beat Kaia Kanepi 6-4, 6-2.
Venus Williams survived a tough battle with Mihaela Buzarnescu winning 7-5, 4-6, 6-3, Shelby Rogers got past Samantha Stosur 6-1, 5-7, 6-3, Lin Zhu beat Mona Barthel 6-7 (2), 6-3, 6-3, Nadia Podoroska defeated Ann Li 6-4, 7-6 (1) and Donna Vekic cruised past Anastasia Potapova 6-4, 6-1.