César Montes

Monterrey

During a youth league playoff match with Pobablo Miguel Alemán FC against Monterrey, he caught the attention of the opposing team. He was eventually brought onto Monterrey's youth team and on 2 August 2015, Montes played his first match with Monterrey against the Portuguese team Benfica on the inauguration of the Estadio BBVA Bancomer. Montes came in as a substitute for the second half, and at the 48th minute he scored the first ever-goal in the Estadio BBVA Bancomer. Monterrey defeated Benfica 3–0. Montes made his official debut for Monterrey on 29 July 2015, against Correcaminos UAT in an Apertura 2015 Copa MX group stage match, where Monterrey defeated Correcaminos 3–1. At the end of the 2016 Clausura, he was listed in the Best XI. At the end of December 2019, Montes would win the 2019 Apertura finals against América. With Monterrey's victory of the 2019–20 Copa MX, they had obtained the continental treble.

Clásico Regiomontano

Clásico Regiomontano matches against crosstown rivals Tigres UANL have proven to be significant for Montes, scoring three goals against them to date. He made his league debut on 19 September 2015 against Tigres UANL, contributing a 40-meter long ball assist to Rogelio Funes Mori to score the only goal for Monterrey where they lost Monterrey lost 3–1. On 14 May 2016, he would score Monterrey's only goal of the second leg of the Clausura 2016 championship quarter-final against Tigres UANL, losing 2–1, but with an…

Montes had been described as a ball-playing defender with skilled range of passing, and has shown on occasions that he is able to pick out long-range passes, and can execute a well-timed and accurate slide tackle. His stature allows him to participate in set-piece situations, specifically regarding headers and defending high passes into the penalty area.

Youth

Montes was part of Marco Antonio Ruiz's roster that participated in the 2018 Toulon Tournament. He would go on to appear in all group stage matches including the semi-final, except for the final where Mexico would go to lose 1–2 against England since he picked up an injury in the previous match against Turkey. He would go on to be included in the Best XI team of the tournament. On 7 July 2016, Montes was named by Raúl Gutiérrez to be included in Mexico's 21-man squad that would participate in the 2016 Summer Olympics in Rio de Janeiro, Brazil. He would appear in all of Mexico's group stage matches but Mexico would finish third in their group and were thus eliminated from the competition. Ruled out for the 2020 CONCACAF Men's Olympic Qualifying Championship as it was not a FIFA-sanctioned tournament, Montes was called up by Jaime Lozano to participate in the 2020 Summer Olympics. He won the bronze medal with the Olympic team.

Senior

Montes was called up by the senior national team to participate in the 2017 CONCACAF Gold Cup. He would make his debut on 13 July 2017 during a group stage match against Jamaica, coming in as a substitute for Rodolfo Pizarro at half-time, finishing the game at 0–0. On 6 June 2019, Montes was called up by coach Gerardo Martino to participate in the CONCACAF Gold Cup. He appeared as a substitute in the group stage match against Cuba and as a starter in the final group stage match against Martinique as Mexico went on to win…

His younger brother, Alán, is also a professional footballer, playing for Liga MX club Cruz Azul.