Loray's analytic continuation conjecture for holonomy germs

Let $\mathcal{F}$ be a singular holomorphic foliation in $\mathbb{C}\mathbb{P}^2$. Let $L_1$ and $L_2$ be two non-invariant projective lines, and let $h:(L_1,p_1)\rightarrow(L_2,p_2)$ be a holonomy germ. Loray's conjecture. The germ $h$ can be analytically continued along any continuous path that avoids a countable set of points called singularities of $h$. This conjecture concerns the domain of analytic continuation of holonomy maps for singular foliations; the provided text gives no evidence that it has been resolved.