The 2018–19 season was a breakout year for Schwaller-Hürlimann and her team of skip Elena Stern, second Lisa Gisler and lead Céline Koller.

They missed the playoffs at their next three events, the 2019 Stu Sells Oakville Tankard, the 2019 AMJ Campbell Shorty Jenkins Classic and the inaugural WCT Uiseong International Curling Cup.

They successfully defeated Eve Muirhead in the quarterfinals, Silvana Tirinzoni in the semifinals and Rachel Homan in the final to win the event.

For the first time ever, they qualified for the playoffs at a Grand Slam event where they lost to Tracy Fleury in the quarterfinals at the Masters.

Team Stern surprised many when they upset the defending world champion rink Silvana Tirinzoni in the 2020 Swiss Women's Curling Championship three times and defeated them in the final 6–4.

The team was set to represent Switzerland at the 2020 World Women's Curling Championship before the event got cancelled due to the COVID-19 pandemic.

The pair finished atop of the round robin standings with a 6–1 record, sending them directly to the best-of-three final where they played Alina Pätz and Sven Michel.

[12] The pair then played against the 2020 Swiss champion rink of Jenny Perret and Martin Rios to decide who would represent Switzerland at the 2021 World Mixed Doubles Curling Championship.

[13] At the 2021 Swiss Women's Curling Championship, Team Stern could not defend their title, losing all five of their matches against the Tirinzoni rink.

[15] The team ended their season at the 2021 Champions Cup and 2021 Players' Championship Grand Slam events, which were played in a "curling bubble" in Calgary, Alberta, with no spectators, to avoid the spread of the coronavirus.

[18] After Team Tirinzoni qualified to represent Switzerland at the 2022 Winter Olympics, Elena Stern and Lisa Gisler both retired from competitive curling with Schwaller-Hürlimann and Céline Koller disbanding as well.

The team did not have much success on tour, only reaching one final at the Stu Sells 1824 Halifax Classic where they lost to Suzanne Birt.

[24] They bounced back immediately the following week at the 2022 Stu Sells Toronto Tankard, again going undefeated to claim their second event title of the season.

After an undefeated round robin record, the team beat Jennifer Jones 7–3 in the quarterfinals, Kaitlyn Lawes 7–5 in the semifinals, and Kerri Einarson 7–3 in the championship game to win their third tour event and Schwaller-Hürlimann's first Grand Slam title.

[26] The team was back on the ice the following week at the 2022 Western Showdown where after dropping their first game, they won seven straight to claim another title.

[27] Team Tirinzoni's event streak came to an end at the 2022 Tour Challenge where after a 4–0 round robin record, they lost 9–2 in the quarterfinals to Isabella Wranå.

[32] This qualified Team Tirinzoni for the 2023 World Women's Curling Championship where they continued their winning streak, going 12–0 through the round robin.