On 5 July 2015, Salvi signed for Cádiz CF, still in the third division.[2] He scored a career-best seven goals during the campaign, as his side returned to Segunda División after six years, and renewed his contract for four years on 9 August 2016.[3]
Salvi made his professional debut on 19 August 2016, starting in a 1–1 away draw against UD Almería.[4] He scored his first professional goal on 3 September, netting his team's second in a 3–2 loss at CD Mirandés.[5]
On 5 November 2017, Salvi scored a brace in a 2–0 away defeat of Almería.[6] Salvi became the top assist maker of Cádiz in 2019 with a total of eight assists, two of them in the matches of the 2018–19 season and six in the 2019–20 season.[7]
On 27 September 2020, Salvi scored his debut goal in La Liga in the match against former club Sevilla.[8]
Rayo Vallecano
On 1 July 2022, Salvi agreed to a two-year deal with Rayo Vallecano in the top tier.[9]
Espanyol
On 19 August 2023, Salvi signed for RCD Espanyol in the second division on a two-year contract.[10]
Personal life
Salvi's younger brother Ezequiel is also a footballer. A right-back, he also represented Sanluqueño.[11]