[7][8] He won the long distance at the 2008 World Orienteering Championships in Olomouc (before Anders Nordberg), and finished second in the sprint event after Andrey Khramov.

He received a bronze medal in the relay event with the Swiss team, together with Baptiste Rollier and Matthias Merz.

In the 2009 season, Hubmann, together with teammate Matthias Merz, became the first man to take World Championship medals in all four orienteering disciplines.

He accomplished this feat by earning the silver medal in the middle distance at the World Championships in Miskolc, Hungary on 19 August 2009.

In addition Hubmann anchored Kristiansand OK's relay teams to victory in both Tiomila and Jukola.

In 2012, he missed the World Championships in his home country of Switzerland due to an achilles tendon rupture.

In 2023, Hubmann won a gold medal in the relay in the home World Championships in Switzerland, winning with teammates Joey Hadorn and Matthias Kyburz, at the age of 40.