Trump said he would discuss it with UK Prime Minister Sir Keir Starmer over the weekend.
Earlier this week Trump’s lawyers threatened to sue the BBC for $1bn in damages unless the corporation issued a retraction, apologised and compensated him.
Trump’s lawyers had given the BBC a deadline of 22:00 GMT (17:00 EST) on Friday 14 November to respond, which it did.
The controversy led to the resignations of BBC director general Tim Davie and head of news Deborah Turness on Sunday.
Searches of public court record databases earlier showed no legal action had been filed so far.
Federal and state courts in Florida, where a case would likely be filed, are now closed for the weekend.
Based on Pacer searches for federal cases related to the BBC, no case filed by the Trump administration has been filed.
This is a breaking news story and will be updated shortly.
