oral sex, whether it be consensual or not ei: "a conversation with his/her privates"
1) often used in euphemism to ask if
someone would like to give you for
oral sex.
2) alternatively, a covert way to inform someone that you are quite displeased with someone and would like to shove your privates into their face
1) It's kindof crowded in here... you wanna
go someplace else for a private
conversation?
2) Nick: What are you guys whispering back there? Is it a private conversation?
Joe: How 'bout I come up there and shove my balls in
your face? Then it'll be a private conversation!!