  For a certain class of real analytic varieties with Lie group actions we
develop a theory of (free-monodromic) tilting sheaves, and apply it to flag
varieties stratified by real group orbits. For quasi-split real groups, we
construct a fully faithful embedding of the category of tilting sheaves to a
real analog of the category of Soergel bimodules, establishing real group
analogs of Soergel's Structure Theorem and Endomorphism Theorem. We apply these
results to give a purely geometric proof of the theorem of Bezrukavnikov and
Vilonen which proves Soergel's conjecture for quasi-split groups.
