In 2020, in an online edition of the tournament for Covid-19, Jaime reached the final of the Magistral for the first time after defeating Alexey Shirov. In his encounter with Leinier Dominguez, the Cuban-American grandmaster won by the narrowest of margins after a tough fight. Santos was proclaimed co-champion of Spain in 2020 together with GM David Antón. In the 2020 Magistral Jaime eliminated the chess legend Alexey Shirov and in 2021 he again came second in the Spanish championship and finally broke through the 2,600 ELO barrier. In 2022 he will be among the top 100 players in the world and second in the Spanish ranking behind Paco Vallejo.

Last year, he drew with the Spanish number 1 GM Francisco Vallejo, also losing in the tiebreaker and showing a constant progression which places him as the most promising Spanish chess player.