He repeated the same feat at the 2022 Estoril Open where he also reached the second round as a wildcard after Pablo Andújar retirement but lost to Frances Tiafoe.

They became the first Portuguese pair to reach and win the final at their home tournament, and have done so on their ATP doubles debut.

[13][14][15][16] At the 2022 French Open Borges qualified to make his Grand Slam main draw singles debut.

[17] He also qualified for his second Grand Slam of the year at the 2022 Wimbledon Championships as a lucky loser after the late withdrawal of Marin Čilić.

He qualified for his third straight Grand Slam at the US Open defeating Francesco Maestrelli in a third set super tiebreak.

He won his first title of the season at the 2023 Monterrey Challenger, Mexico defeating Borna Gojo in the final and reached the top 85.

He reached the fourth round of a Major for the first time in his career at the 2024 Australian Open defeating Maximilian Marterer, 23rd seed Alejandro Davidovich Fokina[23] and 13th seed Grigor Dimitrov, his first top 20 win, becoming the first Portuguese player to reach the fourth round of either singles draw at this Major.

[28] Borges reached his first ATP Tour final at the Swedish Open, defeating Thiago Agustín Tirante in the semifinals to set up a meeting with 22-time Grand Slam champion, Rafael Nadal.

[30][31] At the 2024 National Bank Open he defeated Miomir Kecmanović and upset 12th seed Ugo Humbert.

At the US Open he reached the third round for the first time at this Major, with wins over Federico Coria and Thanasi Kokkinakis.