  The main purpose of this paper is to provide a structure theorem for
codimension one singular transversely projective foliationson projective
manifolds. To reach our goal, we firstly extend Corlette-Simpson's
classification of rank two representationsof fundamental groups of
quasiprojective manifolds by dropping the hypothesis of quasi-unipotency at
infinity.Secondly we establish an analogue classification for rank two flat
meromorphic connections.In particular, we prove that a rank two flat
meromorphic connection with irregular singularities having non trivial
Stokesprojectively factors through a connection over a curve.
