Kate, who is pregnant with her third child, was beaten in a penalty shootout by her husband when they joined a group of young Swedes playing the game on an outdoor ice rink in downtown Stockholm.
The duchess is an accomplished hockey player and a member of both her school and university teams.
Bandy is popular in Sweden and has similarities to both hockey and football as a small ball instead of a puck is used, and teams of 11 play on ice rinks.
After a hot cocoa to warm up, the royal couple headed to the palace for a luncheon with Swedish King Carl XVI Gustaf and Queen Silvia before visiting a museum that tells the story of the Nobel prizes.
Their trip also includes a visit to a medical institute to meet academics and discuss Sweden’s approach to managing mental health challenges, a subject the royals have campaigned about.
William and Kate, both 35, will continue to Norway on Thursday for a two-day visit.
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