Giorgi was known for her aggressive style of play and powerful flat groundstrokes, and she was considered one of the hardest hitters of the ball on the tour.

After winning her first ITF title in 2009,[1] Giorgi made her Grand Slam main-draw debut at the 2011 Wimbledon Championships.

[12] Following an initial interest in artistic gymnastics, Giorgi decided to devote herself to tennis after assisting in her brother's training, when she was five years old.

Giorgi reached the final at the Sey Development Cup in the Czech Republic, and the round of 16 at the Astrid Bowl in Belgium.

In June, at Wimbledon, Giorgi passed the qualifiers and reached her first appearance in a major, but she lost in the first round to eventual quarterfinalist Tsvetana Pironkova.

[17] Giorgi qualified for the Wimbledon Championships for the second year in a row defeating Emily Webley-Smith, Olivia Rogowska, and Alexa Glatch.

[19] However, Giorgi's Wimbledon run came to an end when she lost in the fourth round to third seed and eventual finalist, Agnieszka Radwańska, 2–6, 3–6.

[28] In March, Giorgi qualified for the main draw in Indian Wells where she beat Andrea Petkovic, Sorana Cîrstea, and former world No.

[30] In April at the Katowice Open, she defeated defending champion Roberta Vinci, Shahar Pe'er, and Carla Suárez Navarro to reach the final, which she lost to Alizé Cornet in three sets, after holding a match point at 5–4 in the third.

[30] In Rome, Giorgi defeated top-10 player Dominika Cibulková in the first round but lost to Christina McHale, after winning the first set.

Giorgi made a good run in New Haven, defeating Wozniacki who would finish summer hard-court season with 19–4 and Garbiñe Muguruza, before losing in the semifinal to Magdaléna Rybáriková.

The Italian ended the season reaching the quarterfinals in Moscow where she defeated the third seed Flavia Pennetta for the second time in her career before losing to Kateřina Siniaková in over three hours.

[42] Giorgi returned to form at the start of the grass-court season, claiming her first WTA Tour title at the Topshelf Open in Rosmalen, defeating Irina Falconi, Dutch wildcard Michaëlla Krajicek, Yaroslava Shvedova in the quarterfinals where Giorgi saved three match points in the final set tie-break, home favorite Kiki Bertens in the semifinals and Belinda Bencic in the final.

Giorgi kicked off season at the Brisbane International where she lost in the first round to fourth seed and eventual finalist, Angelique Kerber.

[49] Starting her clay-court season at the first edition of the Ladies Open Biel Bienne, Giorgi made it to the quarterfinals where she was defeated by qualifier Aliaksandra Sasnovich.

[61] Getting past qualifying in Cincinnati, she reached the third round where she fell to top seed and defending champion, Karolína Plíšková.

[68] Giorgi began clay-court season at the Charleston Open where she lost in the third round to seventh seed Madison Keys.

At the French Open, Giorgi reached the third round where she lost to tenth seed and eventual finalist, Sloane Stephens.

[72] Starting grass-court season seeded eighth at the Nottingham Open, Giorgi was defeated in the first round by Dalila Jakupović.

[74] In Eastbourne, she was defeated in the second round by top seed, last year finalist, and eventual champion Caroline Wozniacki.

[82] Seeded fifth at the Linz Open, Giorgi won her second WTA career title beating qualifier Ekaterina Alexandrova in the final.

[87] Playing in the Fed Cup tie versus Switzerland, Giorgi lost both of her rubbers to Viktorija Golubic and Belinda Bencic.

[98] At the Wuhan Open, she retired from her first-round match against lucky loser Rebecca Peterson due to a right wrist injury.

Competing at the first edition of the Lyon Open, Giorgi made it to the quarterfinals where she fell to seventh seed Daria Kasatkina.

[127] At the Canadian Open in Montreal, she reached unseeded her first WTA 1000 and biggest final of her career having never passed previously beyond the fourth round at any tournament at this level.

At the French Open, she defeated seventh seed Aryna Sabalenka to reach the fourth round for the first time at this major.

[131] At the Eastbourne International she reached back-to-back quarterfinals having done so at the Birmingham Classic the previous week, defeating fifth seed Garbiñe Muguruza for her 15th top-10 win and second of 2022 after Sabalenka.

[133] She won her fourth WTA Tour career title at the 2023 Mérida Open defeating second seed Sloane Stephens by a double bagel,[134] and fourth-seeded Kateřina Siniaková in straight sets,[135] and qualifier Rebecca Peterson in the final.

[140][141] Giorgi aims to generate extreme angles with both her forehand and backhand, to surprise baseline opponents and hit winners with ease.

[141] In an article for LiveTennis.com, Nicholas Walz commented on Giorgi's game, saying: "Her play is often too erratic – she followed her result in Indian Wells [defeating No.