Mr Trump said he appointed Ms Wiles as part of preparation ahead of the transition process as he makes other important appointments.
Mr Trump’s campaign said Mr Biden had invited him to a meeting at the White House at an unspecified time.
With his election triumph, Mr Trump has become the second president in history to serve non-consecutive terms.
The results ensured Republicans would help Mr Trump appoint conservative judges and other government officials if he is declared the winner.
If it were left to some Nigerians, the Republican nominee would win hands down.
The 90-minute debate will take place at the National Constitution Centre in Philadelphia.
I will speak to the nation later this week in more detail about my decision.
“My mental acuity’s been pretty damn good,” said the incumbent American president.
A hoarse-sounding Mr Biden stumbled over his words at times, especially in the early stages of the debate.
The Vice President expressed support for President Tinubu’s steps to reform Nigeria’s economy, including ending the fuel subsidy and unifying foreign currency exchange rates.
