A Trump spokesman, Jason Miller, said Trump and Pence, meeting on the 26th floor of the president-elect's Trump Tower in New York, would "be reviewing a number of names" for key positions.
"There will be non-traditional names, a number of people who have had wide-ranging success in a number of different fields," Miller said. "People will be excited when they see the type of leaders the president-elect brings into this administration."
One conflict Trump is facing is between his vow during the campaign to "drain the swamp" in official Washington and now his need to find qualified officials with experience to handle the government's most challenging positions.
Chief of Staff , Chief Strategist
So far, Trump has made just two appointments. He picked Reince Priebus, the chairman of the Republican National Committee, as his White House chief of staff, a selection applauded by Republican leaders who control both houses of Congress.
Trump's choice of Stephen Bannon as his chief strategist has drawn widespread criticism from Democrats and some groups outside the government. Bannon was the Trump campaign's chief executive, joining his election effort in its last months after leading Breitbart News, a website he once described as "the platform of the alt-right," which occasionally has been the home to white nationalist and anti-Semitic vitriol and anti-women views.
Trump is set to become the country's 45th president and the first ever to never have been elected previously to public office, or served in its military or been appointed to a high-level government position.
Popular vote vs Electoral College
He also will be the fifth White House occupant who lost the popular vote in the presidential election but won through the country's Electoral College system of picking its leaders. In essence, U.S. presidential elections are a series of state-by-state contests, with the winner in each collecting all the electoral votes. The biggest states hold the most sway in the Electoral College, where Trump, when all the votes are counted, is likely to finish with a 306-232 edge over his Democratic opponent, former U.S. Secretary of State Hillary Clinton.
But Trump, because he won narrowly in numerous states, while Clinton had a large vote count advantage in two of the biggest states, California and New York, trails her in the popular vote count by more than 670,000 votes.
Trump, in the past, has attacked the two-century-old Electoral College system as a "disaster for a democracy" and said in a television interview after the election, "I would rather see it where you went with simple votes."
In tweets on his Twitter account Tuesday, Trump said, "The Electoral College is actually genius in that it brings all states, including the smaller ones, into play. If the election were based on total popular vote I would have campaigned in N.Y., Florida and California and won even bigger and more easily."
Clinton and Trump both contested the large southeastern state of Florida, which Trump won, but neither campaigned much in New York or California, where Clinton's dominance ahead of the election was a foregone conclusion.