Matías began his professional boxing career on December 19, 2015, with a victory over Juan Rojas, achieving a first-round technical knockout. He continued his winning streak, amassing a record of 8-0, until his first significant challenge against Breidis Prescott on August 18, 2018. Matías defeated the British veteran with a third-round technical knockout.
In his subsequent fight on March 2, 2019, Matías faced Wilberth López and secured another victory by a sixth-round technical knockout. He then took on the undefeated Maxim Dadashev in an IBF junior welterweight title eliminator on July 19, 2019. Tragically, Dadashev suffered a severe brain injury during the fight and passed away a few days later.
On February 22, 2020, Matías faced Petros Ananyan on the undercard of Deontay Wilder vs. Tyson Fury II. Despite being the favorite, Matías lost the fight by a close unanimous decision.
However, Matías regained his momentum when he defeated Malik Hawkins on October 24, 2020, with a seventh-round technical knockout. He then faced Batyrzhan Jukembayev in an IBF junior welterweight title eliminator on May 29, 2021, securing a victory when Jukembayev retired at the end of the eighth round.
In a rematch against Petros Ananyan on January 22, 2022, Matías emerged victorious with a tenth-round knockout. This win helped propel him to a title shot.
On June 3, 2022, Matías was ordered to face Jeremias Ponce for the interim IBF junior welterweight title. However, the IBF later ordered unified champion Josh Taylor to defend against Ponce instead. Taylor refused the fight and vacated the belt, leading to a vacant championship bout between Matías and Ponce. After some delays, the fight finally took place on February 25, 2023, and Matías emerged as the winner by a fifth-round stoppage, earning him the IBF junior welterweight championship.