The phrase "a final conversation" is correct and usable in written English.
It can be used when referring to the last discussion or dialogue that takes place before a significant event or conclusion.
Example: "Before we parted ways, we had a final conversation about our future plans."
Alternatives: "a concluding discussion" or "a last dialogue".
At about noon, Graham had a final conversation with Reid, who had nothing more to offer.
Estelle managed a final conversation with her father, Joseph, through a prison fence.
I reached the prison in time to have a final conversation with Larry on the telephone.
He called Chris from hospital and had a final conversation, and actually he sounded more lucid than he had previously.
In a final conversation, Nina describes for Konstantin the effect that Trigorin has had on her life: He never believed in theater, he laughed at all my dreams..
During a final conversation with Allawi, I suggested that he seemed comfortable with the power that the Americans had bestowed on him.
The concept of mixing the supernatural with high technology had long been a feature of Kneale's work – most notably, his 1952 radio play You Must Listen, which concerned a telecommunications engineer who discovers that a telephone line has somehow preserved the final conversation between a woman and her lover before her suicide, was an important antecedent of The Stone Tape.
In our final conversation a few weeks ago, Edward challenged me angrily about my failure to write enough on this neglected group, which certainly enjoys a good deal of popular support and which deserves a great deal more international attention.
But the production has terrific moments, including a powerful performance of "Brother, Can You Spare a Dime?" and a lovely account of Mr. Hoffman's final conversation with his dying father.
Here now is nearly a complete rendition of that final conversation.
Your father and I gave you a fine mind, and you're wasting it being a grocer.' " That was their final conversation.
