Laura Paredes gained her first international experience in 2013 at the Pan American Junior Championships in Medellín , where she finished ninth with a width of 44.16 m. Then she won the bronze medal at the Junior South American Championships in Resistencia with a throw on 47.61 m. The following year she took part in the Junior World Championships in Eugene , but was eliminated there with 47.50 m in qualification. At the Pan American Sports Festival she was sixth with 48.80 m and then she won the bronze medal at the U23 South American Championships in Montevideo with 51.19 m. In 2015 she won the Junior South American Championships in Cuenca with 51.44 m and reached fourth place at the South American Championships in Lima with 50.80 m, before she came fifth at the Pan American Junior Championships in Edmonton with 50.78 m. At the Ibero-American Championships in Rio de Janeiro in 2016 , she was sixth with 52.19 m and then won the silver medal at the U23 South American Championships in Lima with 50.91 m.
In 2017, she won the bronze medal at the South American Championships in Luque, Austria, with a width of 54.86 m and had to admit defeat to the Colombian Flor Ruíz and Laila Ferrer de Silva from Brazil. Then she classified in the Juegos Bolivarianos in Santa Marta with 52.68 m in fourth place. The following year she was fourth at the Ibero-American Championships in Trujillo with a throw of 52.48 m and then won the U23 South American Championships in Cuenca with 55.59 m. In 2019 she took part in the Pan American Games in Lima for the first time and finished ninth there with 54.16 m.