After her success as a junior prodigy Alexandersson took several years to achieve her gold medal, receiving only silvers and bronzes in 2011, 2012, 2013, 2014 and 2015 despite being one of the favourites.

In 2017 she continued to dominate at the 2017 World Orienteering Championships in Estonia, where she won all forest classes (Middle, Long and Relay).

[7] In the 2019 WOC she won the gold medals in the long and middle distances and also participated in the winning Swedish relay team together with Lina Strand and Karolin Ohlsson.

Alexandersson set a record for the number of gold medals in World Orienteering Championships in a row won, winning eleven in a row for four years between 2018 and 2022, before finally coming sixth place in the sprint at the 2022 World Orienteering Championships following several errors.

Alexandersson has been dominant in ski orienteering in recent years; at the championships in Russia in 2017 she won three gold medals.

[18] In 2017 Alexandersson took a surprise victory in the 29 kilometer Limone Extreme SkyRace with a margin of 12 minutes ahead of established skyrunning specialists, and despite taking several downhill running falls that required medical attention to arms, hands and legs.

[19] In September 2018 Alexandersson won a gold medal in the Sky discipline of the biennial Skyrunning World Championships held on the Ring of Steall Skyrace course at Kinlochleven in Scotland.

"[21] In October 2018 Tove Alexandersson triumphed for the second year in a row in the Limone Extreme SkyRace, this time by a margin of nine minutes.

[26] In October 2021 Alexandersson won the KM de Chando in Switzerland, where the runners ascend 2,000 vertical meters to the top of Illhorn.

[30] Her best result that year was a fifth-place finish, but the European championships was cancelled due to the Coronavirus pandemic.

In February 2021, into her second season of Ski mountaineering, Alexandersson won her first World Cup race, following four second-place finishes.