*Club domestic league appearances and goals, correct as of 19:40, 03 June 2023 (UTC) ‡ National team caps and goals, correct as of 22:16, 9 December 2023 (UTC)
Llinás began playing football with the youth academy of Millonarios at the age of 9 in 2006. He had two stints on loan with the youth academy of Real Madrid and Hellas Verona before returning to Millonarios.[1] He made his professional and Copa Colombia as a late sub with Millonarios in a 1–1 Copa Colombia tie with Tigres on 30 April 2015.[2] He spent the 2018 season on loan with Valledupar in the Categoría Primera B. Returning once more to Millonarios, and after strong performances extended his contract with the club on 30 December 2020.[3]
On June 24, 2023, he scored the tie in the final against Nacional, leaving 1 to 1 in the 90 minutes so that Millonarios later won the round 3 to 2, consecrating himself as an idol of the club after this.
Llinás is of Spanish descent and holds a Spanish passport.[6] His father, Camilo Llinás, is a sports executive in Colombia who was vice president of Millonarios from 2002 to 2003,[7] president of the Liga de fútbol de Bogotá from 2015 to 2020 and vice minister of communications and secretary of the government of the city of Bogotá.[8]