  In this paper we will discuss how to localise a quantum wave-packet due to
self-gravitating meso-scopic object by taking into account gravitational
self-interaction in the Schr\"odinger equation beyond General Relativity. In
particular, we will study soliton-like solutions in infinite derivative ghost
free theories of gravity, which resolves the gravitational $1/r$ singularity in
the potential. We will show a unique feature that the quantum spread of such a
gravitational system is larger than that of the Newtonian gravity, therefore
enabling us a window of opportunity to test classical and quantum properties of
such theories of gravity in the near future at a table-top experiment.
