In 2006, Neuenschwander qualified for her first World Women's Curling Championship playing lead for Silvana Tirinzoni. The Swiss team struggled, finishing in tenth place with a 3–8 record. The following year, she returned to the Worlds at the 2007 Championship, this time playing third for Tirinzoni. The Swiss team lost their first three games but then turned things around and they nearly came back to qualify for the playoff round. Switzerland fell just short, finishing fifth with a 6–5 record.