Inveigle, sweet-talk (7)
I believe the answer is:
wheedle
This clue is a double definition.
'inveigle' is the first definition.
(I know that inveigle can be written as wheedle)
'sweet-talk' is the second definition.
(I know that sweet-talk can be written as wheedle)
(Other definitions for wheedle that I've seen before include "Use flattery to attain one's end" , "Deploy sweet talk" , "Entice by soft words" , "Cajole or attempt to persuade by flattery" , "Inveigle using sweet-talk" .)