The meeting is believed to be another attempt by the Presidency to prove to Nigerians that Buhari's health has not deteriorated.
Earlier, the Special Adviser to the President on New Media, Bashir Ahmad had announced the Buhari-Emefiele meeting on Twitter.
The CBN boss was said to have been ushered to the State House Press Gallery by Buhari's private liaison officer (PLO), Shehu Usman Bello, for an interview after the meeting.
This was the first time Emefiele would address the State House reporters since he became CBN governor in February, 2014.
Emefiele's address is believed to be another attempt by the Presidency to prove to Nigerians that Buhari's health has not deteriorated.
The President has been holed up in his official residence for about two weeks, fuelling speculations that his health condition has gone from bad to worse.
Speaking to newsmen at the Villa, Emefiele said he briefed Buhari today and that the President expressed delight over the stability of the foreign exchange market.
He said, "Basically, as it is expected, what we normally do is from time to time to brief the President about activities about the Central Bank of Nigeria, particularly at this time as it relates to the efforts that the central bank is doing to stabilise the forex market.
"And we briefed him regarding the activities so far and he was very delighted to hear that the market is stabilising at the level that it is right now, and I am saying the parallel market which currently stabilises at between 380 and 385."
However, emerging reports claim three British doctors - two males and one female - have arrived the Villa to treat Buhari.
It was gathered that the medical personnel arrived on Thursday, May 4, ahead of a possible plan to fly the President back to the UK on May 10.