Márquez was part of the Spanish junior group that competed at both the 2019 European[2] and World Championships,[3] finishing 7th in Baku and 5th in Moscow.

[4][5][6] In 2021 Valeria participated in the World Championships along Inés Bergua, Ana Gayán, Patricia Pérez, Uma Mendez and Mireia Martínez, finishing 12th in the All-Around and 5th in the 3 hoops + 4 clubs' final.

[7][8][9] The group debuted in 2022 at the World Cup in Sofia, they were 5th in the All-Around and 5 hoops and 6th with 3 ribbons + 2 balls.

[13] They won All-Around bronze and 5 hoops and silver with 3 ribbons + 2 balls in Cluj-Napoca.

[14] Valeria took part, with Ana Arnau, Inés Bergua, Patricia Pérez, Mireia Martínez and Salma Solaun in the 2022 European Championships in Tel Aviv, winning silver in the 3 ribbons + 2 balls final, and the World Championships in Sofia where the Spanish group won three bronze medals: All-Around (earning them a spot for the 2024 Olympics), 5 hoops, and team.