Kim Kardashian Weary, Weary Traveler

11/7/2011 4:30 AM PST

Kim Kardashian -- Weary, Weary Traveler With No Makeup

One day after Kim Kardashian flew to Minnesota to talk things out with estranged husband Kris Humphriesshe arrived at LAX last night looking ... like she'd been talking things out with an estranged husband.

Kim was also seen boarding the plane in Minnesota (below), where she clung to a giant pillow as she got ready for the late flight home.

As TMZ first reported, the two spent four hours with the pastor who married them ... and we're told a reconciliation is "up in the air."