  We predict that spatial self-trapping of light can occur in soft matter
encompassing a wide class of new materials such as colloids, foams, gels,
fractal aggregates etc. We develop a general nonlocal theory that allows to
relate the properties of the trapped state of Maxwell equations to the
measurable static structure factor of the specific material. We give numerical
evidence for stable trapping in fractal aggregates and suggest also the
possibility of soliton spectroscopy of soft-matter.
