With the first presidential debate still a few months away, President Obama won’t have to meet his Republican challenger face-to-face for a while — but his wife may not have to wait.

Visiting London for the Olympic Games, Michelle Obama and Mitt Romney may cross paths across the pond on Friday, as the two are scheduled to wish Team USA luck and attend the opening ceremony.

Leading the presidential delegation, Mrs. Obama will start Friday with a breakfast of champions, where she will meet members of the Olympic team. Then she will head to a “Let’s Move!” event with American and British children, including about 1,000 from American military families.

Later, as part of the first lady’s third trip to England since Mr. Obama took office, she will attend the queen’s reception for heads of state at Buckingham Palace and then the opening ceremony.

The Romney campaign announced that Mr. Romney would also be meeting with American athletes and attending the opening ceremony as part of the first leg of his trip to England, Israel and Poland.

Far from being a stranger to the Olympics, Mr. Romney ran the 2002 games in Salt Lake City. But this year, his interest is especially personal: a horse co-owned by Mr. Romney’s wife, Ann, will be competing as part of the U.S. Olympic dressage team.