IRVINGTON, N.Y. — “Gentlemen, good curling,” said George Austin, welcoming the two curling teams, one from Scotland and one from Westchester County, to a cavernous, chilly shed for two hours of strategic battle, sliding heavy stones with great precision across a sheet of ice.

The Scottish team had arrived on Friday morning here at the Ardsley Curling Club as part of an American tour to try to win back the Herries Maxwell trophy, which was won by American curlers in 2012 in Scotland.

The first cup challenge took place in Scotland in 1952, and since then, the two countries have taken turns hosting the competition — a monthlong series of matches between the best American and Scottish curlers — every five years.

A 20-man team from Scotland, where the sport was invented, has been touring the United States for the past several weeks. The teammates arrived here Friday morning, at one of the few curling sheds in the Northeast. The curling club has stood since 1966 on land leased from the Ardsley Country Club.