Haley, 44, considered a rising star in the Republican Party, had backed Senator Marco Rubio in the Republican primary. However, before the general elections, Haley came out in support of Trump, saying that she would be voting for the billionaire tycoon from New York.
The daughter of Indian immigrants, she would bring both racial and gender diversity to Trump's cabinet.
Former New York mayor Rudy Giuliani is also a strong contender for the position, according to reports and sources.
Among others the 70-year-old Trump would be meeting include former Secretary of State Henry Kissinger, General (rtd) Jack Keane, Admiral Mike Rogers and Ken Blackwell.
While some of these meetings are about potential cabinet members, others are about sharing ideas and advice.
Earlier in the day, a close aide of Trump from South Carolina said that Haley was being considered for a Cabinet position, including that of the Secretary of State.
"It would be like how Mr Trump is bringing fresh eyes to running our government," South Carolina Lt Governor Henry McMaster told The Post and Courier. The daily did not provide any other details.
McMaster, who started speaking with the Trump team soon after their historic victory told the local South Carolina daily that the first women governor of the State, who is also the first Indian-American woman governor, is being considered for various Cabinet position, including the State of State.
Neither the office of the South Carolina Governor nor the Trump transition team have responded to this report so far.
While the news was welcomed in South Carolina, a political analyst appeared to be skeptical of such a proposal.
Haley is the second Indian-American name being floated for a Cabinet position in the Trump Administration. Former Governor of Louisiana Bobby Jindal is also appearing in many short lists of potential Cabinet names.
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