Bryce has skipped Scotland three times at the World Mixed Curling Championship.

He and teammates Katie Murray, Bobby Lammie and Sophie Jackson finished 9th place at the 2015 World Mixed Curling Championship.

The team won their group with an undefeated 6–0 record, and then went on to beat Canada in the quarterfinals before losing to Sweden in the semifinal.

Bryce then improved upon this placement at the 2022 World Mixed Curling Championship, finishing 7-1 in group play, and making their way to the gold medal game, finishing in second place after losing to Canada and Jean-Michel Ménard 7-4 in the final.

Bryce and teammates Ross Whyte, Brydone and Kyle would win his first World Curling Tour event at the 2017 Tallinn Challenger.