  In this paper, we succeed to bilinearize the $\cal{PT}$-invariant nonlocal
nonlinear Schr\"{o}dinger (NNLS) equation through a nonstandard procedure and
present more general bright soliton solutions. We achieve this by bilinearizing
both the NNLS equation and its associated parity transformed complex conjugate
equation in a novel way. The obtained one and two soliton solutions are
invariant under combined space and time reversal transformations and are more
general than the known ones. Further, by considering the two-soliton solution
we bring out certain novel interaction properties of the $\cal{PT}$-invariant
multi-soliton solutions.
