She is currently the alternate on the Danish National Women's Curling Team skipped by her sister Madeleine Dupont.

In 2004, she was promoted to the third position, and the team won another bronze at the European Championships in 2005.

She played third in the 2006 Olympics in Torino, Italy, where they finished 9th — following that, she left the team and joined up with Jensen.

The new team succeeded at the 2007 World Women's Curling Championship, where they won silver.

Denise Dupont returned to the world championships in 2008, where she played third for Angelina Jensen, finishing fifth after losing a tiebreaker to Japan's Moe Meguro.