In January 2020, Quesada started with 6 wins out of 6 games in the Open International Tournament.
[2] In February 2023, Quesada finished fourth in the Cuban Chess Championship, after losing to Lelys Stanley Martinez Duany and Carlos Daniel Albornoz Cabrera on tiebreaks for second place.
[3] In May 2023, Quesada finished third in the 56th Capablanca Memorial, behind winner Jonas Buhl Bjerre and runner-up Alexandr Fier.
[4] In July 2023, Quesada finished second on board 2 in the rapid portion of the Central American and Caribbean Games.
[5] Quesada competed in the Chess World Cup 2023, where he was defeated by Emre Can in the first round.