Carla Suarez Navarro began playing tennis at age 9 and moved from the Canary Islands to Barcelona in 2007 to train at Pro‐Ab Team Tennis Academy. In 2008 at Roland Garros, her first Slam played, she became the first qualifier to reach the last eight since 2001. Ranked No.132, she was joint‐lowest‐ranked quarterfinalist at Roland Garros (also Pierce). After Roland Garros; rose from No.132 to No.49, making top 100 and top-50 debut simultaneously. After her first top-50 season, in 2009 she played her first WTA final in Marbella (l. to Jankovic in final), where she was runner-up also in 2010 (l. to Pennetta). In 2012, her third Top 50 season, she runner-up at Oeiras (l. to Kanepi 36 76(6) 64 in final; had 2mp at 6-4 in tie-break). In 2013, her first Top 20 season, she was runner-up twice in Acapulco (l. to Errani in final) and Oeiras. At Us Open she reached her third Grand Slam quarter-final before losing to Serena Williams. In that match. she suffered the first "double bagel" in a grand slam quarter-final since the 1989 US Open (Navratilova d. Manuela Maleeva), and only the second in the open era.
Her first title came in Oeiras in 2014 (d. Kuznetsova in final). She was one of six players to make Top 10 rankings debut in 2015 (April 6, at No.10), the third Spanish women to achieve a Top 10 ranking, after Sánchez Vicario and Martínez; Muguruza has since become the fourth. That year she reached title match at Antwerp in February 2015, but was forced to withdraw vs. Petkovic w/neck injury; a month later, reached biggest final of career at Miami (l. S.Williams). Capped off the strong first half of season with a run to final in Rome (l. Sharapova in 3-sets).
In doubles, qualified for 2015 WTA Finals with Muguruza where they advanced to the final in Singapore falling to top seeds Hingis/Mirza. In 2016 Suarez ceebrated the biggest title of career at Premier 5 Doha (d. Ostapenko in F) and ended the season at No.12 for the career‐best year‐end finish. In 2016 she also reached R16 or better at each of the four Grand Slams – one of just four players to do so (also Keys, A.Radwanska and S.Williams). In a disappointing 2017 season, she advanced to semifinals in Monterrey and Bucharest.
In 2018, she finished her eleventh consecutive top-100 season at No.23. She won the first matches at Australian Open, where she reached her third career quarterfinal appearance (l. eventual champion Wozniacki), equaling her best result at the Grand Slams.
She reached the second round in Doha, Dubai, and Miami and made a quarterfinal showing in Indian Wells (l. Venus Williams), defeating No.4 Svitolina in the third round. On clay, she advanced to the quarterfinal stage in Madrid, defeating No.4 Svitolina en route (l. No.7 Garcia), and collected a first-round exit in Rome (l. Vekic) and a second-round finish at Roland Garros (l. Sakkari). On grass, apart from early exits in Mallorca and Eastbourne, she advanced to the third round at Wimbledon (l. Bencic).
In North America, she defeated No.6 Garcia and former champion Sharapova on way to a quarterfinal showing at US Open (l. Keys). Previously, she had reached the round-16 in Montreal (as a qualifier, l. eventual R-Up Stephens) and lost to Sabalenka her first final of the season in New Haven. She failed to win back to back matches in her last three tournaments, in Wuhan, Beijing, and Luxembourg.