In their first season, they played in one slam, the 2013 Colonial Square Ladies Classic (not qualifying) and the 2014 Manitoba Scotties Tournament of Hearts, losing in the final to Team Chelsea Carey.
There, the team would make the playoffs, but would end up losing in the bronze medal game, settling for fourth place.
They lost to Team Manitoba (Jennifer Jones) but rebounded against Nova Scotia's Mary-Anne Arsenault in the semifinal.
Njegovan would stay with Liz Fyfe and Kristin MacCuish for the 2018–19 season but would bring on a new skip, Tracy Fleury for the 2019–2022 Olympic quadrennial.
[5] The team had a nearly full schedule in Grand Slam events, beginning the season at the Elite 10, where they missed the playoffs after winning just one game.
Next, they made it to the quarterfinals of the 2018 Masters, which they followed up by making it to the finals of the 2018 Tour Challenge, where they lost to Rachel Homan.
[6] Outside of the Grand Slam tour, they were invited to represent Canada at the second leg of the Curling World Cup, which they finished with a 4–2 record, narrowly missing the final.
[9][10] A week after provincials, the team played in at the 2019 TSN All-Star Curling Skins Game where they lost to Jennifer Jones by $4,000 in the final.
[16] Next they played in the 2019 AMJ Campbell Shorty Jenkins Classic where they once again had a successful weekend, losing in the final to Jennifer Jones.
With wins over Elena Stern in the quarterfinals and Anna Hasselborg in the semifinal, Team Fleury made their second Grand Slam final since forming.
[22] Team Fleury capped off the 2019 part of the season with a semifinal finish at the 2019 Boost National Grand Slam.
At the 2020 Manitoba Scotties Tournament of Hearts, the provincial championship, Team Fleury lost the semifinal to Jennifer Jones.
[24] They did have another chance to qualify for the 2020 Scotties Tournament of Hearts through the Wild Card play in game which they also lost to Jones.
[29] Because Team Fleury ranked 2nd on the CTRS[30] and kept at least three of their four players together for the 2020–21 season, they got the first Wild Card spot at the 2021 Scotties in Calgary, Alberta.
[31] Tracy Fleury would, however, not compete at the Hearts, as she wanted to stay home with her baby daughter, who was diagnosed with infantile spasms, a rare form of epilepsy.
[34] A month later, Njegovan was back in the Calgary bubble to compete with Reid Carruthers at the 2021 Canadian Mixed Doubles Curling Championship.
[37][38] At the Champions Cup, Fleury led the team to a 4–0 round robin record before losing in the semifinal to Switzerland's Silvana Tirinzoni.
After finishing 4–0 through the round robin, they defeated Cory Christensen, Kim Eun-jung, and Kerri Einarson in the quarterfinals, semifinals and final respectively to win their second title of the season.
[42] After a quarterfinal finish at the 2021 Curlers Corner Autumn Gold Curling Classic, the team played in the first slam event of the season, the 2021 Masters.
[46] At the second Grand Slam of the season, the 2021 National, the team posted undefeated record until they reached the final where they were defeated by Sweden's Anna Hasselborg 9–6 in an extra end.
On her final shot, Fleury attempted a soft-weight hit on a Jones stone partially buried behind a guard.
[58] Team Fleury still had two more events together before parting ways, the 2022 Players' Championship and 2022 Champions Cup Grand Slams.
At the Players', the team qualified through the A-side with an undefeated record, earning them the top spot in the playoff round.
After going undefeated in the round robin, they beat Marianne Rørvik in the semifinal before losing 5–3 to Anna Hasselborg in the final.
[60] They were able to pick up their first tour victory at the Mother Club Fall Curling Classic, winning 6–2 in the final over Sarah Anderson.
[64] Following a quarterfinal finish at the 2022 Curlers Corner Autumn Gold Curling Classic, Lawes went on maternity leave.
During that time, Selena Njegovan took over skipping the team, leading them to a victory at the 2022 Stu Sells 1824 Halifax Classic and a quarterfinal finish at the 2022 Masters.
In October, they had two straight semifinal finishes at the 2023 PointsBet Invitational and the 2023 Players Open, losing out to Kerri Einarson and Anna Hasselborg respectively.