NEW YORK (AP) -- With his return to New York, President-elect Donald Trump faces a pressing need to set more of the foundation blocks of his presidency in place by filling vacancies for secretary of state and other top posts.

Distraction looms, however, much of it created by the president-elect himself, whose extraordinary claims of widespread voter fraud during a 12-hour Twitter offensive on Sunday cast a shadow over the legitimacy of an election that he actually won.

"I won the popular vote if you deduct the millions of people who voted illegally," Trump tweeted in the afternoon before alleging in an evening tweet "serious voter fraud in Virginia, New Hampshire and California."

Trump's transition team did not respond to questions seeking evidence of the claims.... Read More: Real Clear Politics