The phrase "a final conversation with" is correct and usable in written English.
It can be used when referring to a concluding discussion or dialogue with someone, often in a significant or emotional context.
Example: "Before leaving the company, I had a final conversation with my mentor to express my gratitude for all the guidance."
Alternatives: "a last discussion with" or "a concluding talk with".
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.
During a final conversation with Allawi, I suggested that he seemed comfortable with the power that the Americans had bestowed on him.
Julia teaches at the schoolhouse where Che is being held, and after pleading with the Lieutenant (Felix Solis) to be let inside, she has a final conversation with the prisoner.
He was telling Congress of a final conversation with J. Clifford Baxter, the shame-filled fellow Enron executive who committed suicide just as the world was learning how America's "most innovative company" (as Fortune put it) had engaged in shadowy partnerships designed to rape its employees and shareholders.
The movie comes to a head with a final conversation at a beachside restaurant, an exhilaratingly clever and ambiguous scene in which we must decide what is happening and where our sympathies lie.
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.
Asked by a prosecutor to talk about her final conversation with Mr. Martin, Ms. Jeantel drove home the state's contention: as Mr. Martin was trying to avoid Mr. Zimmerman, he was accosted and wound up dead.
OK, he occasionally lapsed into DCI-ese (" It's fair to say that I was on the receiving end of what can only be described as a heated exchange," he said of his final conversation with the rape complainant Jane).
