The BBC's incoming director general wants to use dramas such as Wolf Hall and The White Queen to make the corporation an international cultural beacon for the UK.
Lord Hall, the outgoing chief executive of the Royal Opera House, takes up his new role on 2 April.
The BBC's controller of drama commissioning Ben Stephenson, who has met Hall twice since the latter's appointment in November, said he talked about the BBC's "cultural legacy and impact".
Stephenson added that they had also talked about "What does that mean and what does it mean as an international broadcaster in the modern age, but crucially without losing our values.
"It's exporting what we are, the Danny Boyle philosophy of Britain exporting what we are to the world and the world will come, rather than pretending,