  Gravitational solitons (gravisolitons) are particular exact solutions of
Einstein field equation in vacuum build on a given background solution. Their
interpretation is not yet fully clear but they contain many of the physically
relevant solutions low $N$-solitons solutions. However, a systematic study and
characterization of gravisolitons solution for every $N$ is lacking and their
relevance in a theory of quantum gravity is not fully understood. This work
aims to investigate and characterize some properties of $N$-axialsoliton
solutions such as their asymptotically behaviour and asymptotic symmetries
given minimal assumptions on the background metric. We develop an explicit
systematic asymptotically expansion for the $N$-axialsoliton solution and we
compute the leading order of the asymptotic killing vectors. Moreover, in the
perspective to better understand the role of gravisolitons in quantum gravity
we make a link, and a one of the first explicit test, to the corner symmetry
proposal deriving which subalgebra of the universal corner symmetry algebra is
generated by the asymptotic Killing vectors of $N$-axialsoliton solution. In
the spirit of the corner proposal, the axialgravisoliton corner symmetry
algebra (\textfrak{agcsa}) can be useful for the quantization of the
non-asymptotically flat sector of gravity while, in the spirit of IR triangle,
new soft theorems and memory effects could emerge.
