A criterion for parabolic vector bundles to admit a parabolic Lie algebroid connection

Given a holomorphic Lie algebroid $(V,\phi )$ on a compact connected Riemann surface $X$, we give a necessary and sufficient condition for a parabolic vector bundle on $X$, with parabolic structure over a nonzero reduced effective divisor, to admit a parabolic Lie algebroid connection for the Lie algebroid $(V,\phi )$.