[citation needed] In July 2021, she reached her first WTA Tour semifinal at the Budapest Grand Prix as a wildcard.

[10] After winning her first ITF Circuit grass-court title, the Ilkley Trophy in June, she set a new career-high of world No.

79 on 12 September, after she reached the third round at a Major for the first time in her career, at the US Open, where she lost to 18th seed Veronika Kudermetova.

[citation needed] At the Linz Open, Gálfi reached the quarterfinals as a qualifier, defeating seventh seed Bernarda Pera[14] and wildcard Eva Lys,[15] before retiring while trailing in the first set of her last eight march against Markéta Vondroušová.

[18] At Wimbledon, Gálfi appeared in the third round for the first time at this major, after defeating Linda Nosková[19] and Jule Niemeier.

[21] In Hua Hin, Thailand, Gálfi reached her third career quarterfinal as a qualifier, defeating wildcard Ajla Tomljanovic[22] and fifth seed Wang Xiyu.

[24] At the Rosmalen Open, she reached her first grass-court semifinal and first since Budapest 2021, as a qualifier defeating Arantxa Rus,[25] fifth seed Veronika Kudermetova[26] and Aleksandra Krunić.