Passaro rallied from 1-3 in the fourth set and overcame heavy cramping to win the set in a tie-break.
The 2022 Next Generation ATP Finals is a men's exhibition tennis tournament for the best singles players aged 21 and under on the 2022 ATP Tour.
Garcia has been representing France in the Billie Jean King Cup since 2013, and she was a member of the team that won the championship in 2019.
It will take place between October 24 and 30, 2022, at the Centro Libanes Mexicano de Tampico in Tampico, Mexico.
It is the first event since 2019, with the 2020 and 2021 tournaments cancelled due to border restrictions on the COVID-19 pandemic.
Carlos Alcaraz became the first adolescent to ever reach No. 1 in the ATP rankings by winning the tournament, which saw him rise to No. 1.
Berrettini struggled on service in the first set and was bothered by a foot pain, requiring a medical timeout at 2-5 in the opening in a hard-fought match at the ATP 250 event.
Kasatkina returned six out of 11 break points in the match to seal what was a rather comfortable victory over Zhu Lin in the previous round.
The American hit four aces and returned four out of seven break points to take the win against Belinda Bencic in the second round.
Sakkari recorded a comfortable win over Marta Kostyuk in the round of 32 on Wednesday by a score of 6-4, 6-4.