Limón

Born in Limón, Salinas started his football career at local club Limón. Salinas was trained in the youth categories of the club, and shortly after he won his promotion to the main squad during the 2015-16 season. Under the direction of Horacio Esquivel, Yostin made his debut, at just 16 years old, on 9 August 2015, in matchday 2 against Universidad de Costa Rica, at the Ecological Stadium. On that occasion, he entered the match for Alvin Bennett in the 90th minute in a 0-1 victory. On 16 August 2015, he started for the first time and saw action for 62 minutes in a scoreless draw against Municipal Liberia.

Saprissa

On 20 December 20, 2016, Deportivo Saprissa announced, through a press release, the signing of Salinas by the purple team. The footballer signed a three year contract. Salinas made his league debut for his new club on 8 January 2017, as Saprissa visited the Estadio Carlos Ugalde Álvarez, where they faced San Carlos. Salinas made his official debut with the number «2», received a yellow card in the 2nd minute of the match, two minutes later he was cautioned and consequently expelled, in a 1-0 loss.^[1]

In the first leg of the league final on 15 May 2018 against Herediano in the Estadio Rosabal Cordero, Salinas scored his first goal in the top flight in the 79th minute, on a shot from outside the area with his left foot to save his club from defeat, in a 1-1 draw.^[2] On 20 May, Salinas and his club claimed the league title as they beat Herediano in the penalty shootout.^[3]

Sporting San José

In July 2020, Salinas moved to Sporting San José on loan from Saprissa.^[4] on 25 May 2021, Salinas opened the scoring for San José in a 2-2 draw with his boyhood club Limón. The result guaranteed his club remained in the top flight.^[5] He ended his season at the club appearing in 23 matches and scoring one goal.

During June 2020, after his loan with San José ended, Salinas returned to Saprissa.^[6] In his second spell with the club Salinas appeared in 8 matches. After being seldom used by Saprissa during the 2020 season, Salinas returned to San José on 24 December 2021.^[7] Salinas quickly integrated into the squad and into the starting lineup. On 31 March 2022, Salinas opened the scoring for San José in a 4-0 victory over San Carlos.^[8]