For some reason, this strange conversation does not strike me as at all odd.

He said little but implied much during our strange conversation.

Last year I had a very strange conversation with him, at lunch one day.

It was a strange conversation, each participant showing perfect knowledge of the other's language.

Tom said, not sure how much of this strange conversation he was able to follow.

She shook hands and thought what a strange conversation they were having.

"If we are, it's going to have to be a very strange conversation."

Thinking about the strange conversation she had just had would have to wait.

Then one night we had rather a strange conversation.

"None at all," she told him soberly, and thought what a strange conversation they were having.