Segovia made his debut for El Nacional in 2015 and went in to make 105 appearances at centre back before being signed by Independiente del Valle on 24 January 2019 for a net value of $600,000.[2] It was to be a successful season for Segovia and the club.
Alongside midfielder Alan Franco, Segovia was the only ever present starter in Independiente del Valle's unexpected 2019 Copa Sudamericana triumph.[3] Segovia commented that whilst in lockdown during the COVID-19 pandemic he would rewatch the final on YouTube for motivation.[4]
In February 2020, Segovia played in the Recopa Sudamericana, the annual continental Super Cup that pits the previous year's champions of the Copa Libertadores and the Copa Sudamericana, South America's premier club competitions, against each other. On this occasion Flamengo of Brazil triumphed on 26 February 2020 at the Maracanã in Rio de Janeiro, 5–2 on aggregate, to claim their first Recopa Sudamericana title. One Segovia back header inadvertently leading to a goal from striker Gabriel Barbosa.[5]