Kim K, Kris Humphries Face Off In Court.

Kim Kardashian and Kris Humphries are scheduled to come face-to-face today for the first time since their split.

The former lovebirds are required to appear at a settlement conference at the downtown L.A. courthouse this AM.  The drill is ... try and hash out a resolution to avoid a trial.   

But here's the deal ... Mandatory settlement conferences are routine, but this case has as much a chance of settling as Farrah Abraham has getting admitted to a nunnery.

Sources tell us ... Kris is shockingly still demanding $7m to go away, even though he says all he wants is an annulment.  We're told Kim not only is unwilling to give him a penny ... she's now demanding that he pay her attorney's fees.

This case is destined for trial.