[10] At the 2016 Olympics in Rio de Janeiro, Brazil, Tosun lost the repechage match in the 69 kg event, and failed so to win a medal.

[13][14] In 2020, she won the silver medal in the women's 72 kg event at the 2020 Individual Wrestling World Cup held in Belgrade, Serbia.

[15] In March 2021, she competed at the European Qualification Tournament in Budapest, Hungary hoping to qualify for the 2020 Summer Olympics in Tokyo, Japan.

[26][27] She lost her bronze medal match in the 72 kg event at the 2022 World Wrestling Championships held in Belgrade, Serbia.

[30] Tosun won the gold medal in the women's 68 kg event at the 2023 World Wrestling Championships held in Belgrade, Serbia.

[33] Tosun won the gold medal at the 2024 European Wrestling Championships in Bucharest, Romania, in the women's freestyle 68 kg, defeating Ukraine's Tetiana Rizhko 5-2 in the final.

[34] She had reached the final by pinning Azerbaijan's Khanum Velieva, an individual independent competing for Russia, 4-1 in the quarterfinals and defeating Czech Adéla Hanzlíčková 10-9 in the semifinals.

[37] Tosun Çavuşoğlu was named the "Woman Wrestler of the Year" in 2024 by the United World Wrestling for her rankings with a style best 60,200 points.