[1] Montoya started his competitive karting career in 2013, racing in the Rotax Micro Max class of the Florida Winter Tour when he was just eight years old.
[8] He would run a part-time campaign in the latter, finishing second thrice in the six races he competed in, putting him ninth in the standings, ahead of three full-time competitors.
[10] At the start of 2022 Montoya made his debut in the Formula Regional Asian Championship with Mumbai Falcons India Racing.
[20] At the start of 2023, Montoya competed the full season in the 2023 Formula Regional Middle East Championship with Hitech Grand Prix.
[22] Due to Oliver Goethe's Euroformula Open commitments, Montoya replaced him and made his first F3 appearance in Zandvoort, driving for Campos Racing whilst Hunter Yeany recovered from a wrist injury.
The feature race looked set for another good result, however when fighting over fifth place with Caio Collet, he made contact and damaged his front wing.
[36] Montoya would be penalised for the incident and was later disqualified post-race after a left tyre was found to have been used on the wrong side during his pit stop.
[37] In Barcelona, Montoya fought with Paul Aron for fourth until they made contact, the former coming out with a puncture and dropping to the back of the field, and was later given a penalty for failing to follow race director's instructions, which was to go on the left of the bollards.
[40][41] In Silverstone, Montoya led the race early on from reverse pole for the first 13 laps, and was hit from behind by Taylor Barnard following the safety car restart, which dropped him out of the top 10.
[43][44] Hungary was the first weekend where he failed to score points, but rebounded in Spa-Francorchamps with sixth place in the feature race, having started on the correct wet tyres on a damp track.
[51] Montoya reunited with Campos Racing for the 2024 season, where he partners Mari Boya and fellow Red Bull junior Oliver Goethe.
[59] A strong qualifying followed with eighth in Austria, but had a heavy crash during the sprint race after making contact with Alex Dunne.
[73] Montoya made his endurance debut during the 2022 IMSA SportsCar Championship, partaking in selected rounds for DragonSpeed Racing alongside his father.
[74] He was initially supposed to partake in the 2022 24 Hours of Daytona during late January, but was scrapped due to his clashing commitments in the Formula Regional Asian Championship.
[75] Montoya competed in the 2023 European Le Mans Series, driving for DragonSpeed USA in the LMP2 category alongside his father again.