Dalia took up rhythmic gymnastics at age 3. She debuted as a member of the national team in 2019 at the
1st Junior World Championships in
Moscow, competing with ball and taking 41st place in qualification. In 2022 Alcocer was included into the national senior group, debuting at the
World Cup in
Portimão, being 4th in the All-Around and winning two historical medals, the first in the circuit for the country: bronze with 5 hoops and gold with 3 ribbons and 2 balls. A week later, in
Pesaro, they took 7th place in the All-Around and 5th in both event finals. In July she competed at the
Pan American Championships in
Rio de Janeiro, winning silver in the All-Around and with 5 hoops and gold with 3 ribbons and 2 balls. A month later she was in
Cluj-Napoca with the group for the last World Cup of the year, ending 4th in the All-Around and with 5 hoops as well as 6th with 3 ribbons and 2 balls. In September Dalia represented Mexico along
Nicole Cejudo,
Sofia Flores,
Adirem Tejeda and
Kimberly Salazar at the
World Championships in
Sofia, taking 6th place in the All-Around, 6th with 5 hoops and 8th with 3 ribbons and 2 balls. In June 2023 she helped the group win gold overall and in the two event finals at the
Central American and Caribbean Games in
San Salvador. In August she took part in the
World Championships in
Valencia along
Sofia Flores,
Julia Gutierrez,
Kimberly Salazar,
Adirem Tejeda and
Karen Villanueva. There they were 14th in the All-Around, 14th with 5 hoops and 8th with 3 ribbons & 2 balls. In September Dalia, her teammates and their coach were left stranded in Israel, where they were having a training camp, following the attacks of
7 October, later they were able to return home with the help of the government. At the
Pan American Games in
Santiago the group won all three silver medals, thus earning the quote for the following year's olympics. In March 2024 they won gold in the All-Around, silver with 5 hoops and bronze with 3 ribbons & 2 balls at the Aphrodite Cup. At the
Thiais Grand Prix the got silver in the mixed event. At the
World Cup in
Sofia they won bronze with 5 hoops, behind Israel and Spain. In
Baku they were among the top ten groups. At the stage in
Portimão they were 4th overall, 4th with 5 hoops and won silver with 3 ribbons & 2 balls. In June she participated in the
Pan American Championships in
Ciudad de Guatemala, winning gold in the All-Around and in the mixed event as well as silver with 5 hoops. In
Milan they took 5th and 8th place in the finals. In August she competed along
Sofía Flores,
Julia Gutiérrez,
Kimberly Salazar and
Adirem Tejeda, at the
Olympic Games in
Paris, taking 12th place in the qualifying event. In 2025 she debuted at the
World Cup in
Tashkent, Mexico was 7th overall, 7th with 5 ribbons and 8th with 3 balls & 2 hoops. In Portimão she helped the group take 5th place with 5 ribbons. In May they were 4th in the All-Around, won bronze with 3 balls & 2 hoops as well as silver with 5 hoops at the
Pan American Championships in
Asunción. In July they were at the World Cup in Milan, being 11th overal, 14th with 5 ribbons and 9th in the mixed event. In August she was selected for the
World Championships in
Rio de Janeiro, along
Sofia Flores,
Julia Gutierrez,
Fernanda Salas,
Kimberly Salazar and
Adirem Tejeda, taking 11th place in the All-Around, 17th with 5 ribbons and 11th with 3 hoop & 2 balls. == Achievements ==