"I don't want to gloss over the very real differences between Americans and Canadians," Obama said. "There are some things we will probably never agree on. Whose beer is better? Who's better at hockey?"
That elicited some laughter from the press and guests attending the event, while Trudeau twice mumbled, "Don't get me started," and wagged his finger at the president.
"Where's the Stanley Cup right now?" Obama said. "I'm sorry [but] is it in my hometown with the Chicago Blackhawks? In case you were wondering."
Obama hosted the Blackhawks at the White House on Feb. 18. It was their third visit during Obama's presidency. At the event, Obama suggested leaving the Stanley Cup in Washington.
"We've got a state dinner with Canada coming up so we may just leave it right in the middle of the room," he said. "Just to gloat a little bit."
The last Canadian team to win the Stanley Cup was the Montreal Canadiens in 1993.
Trudeau is the first Canadian prime minister to visit the White House in 20 years.