In this talk, I will talk about the reconstruction problem of the holomorphic tangent bundle $T_{mathbb{P}^2}$ of the complex projective plane $mathbb{P}^2$. I will introduce the notion of tropical Lagrangian multi-section and cook up one from a family of Hermitian metrics defined on $T_{mathbb{P}^2}$. Then I perform the reconstruction of $T_{mathbb{P}^2}$ from this tropical Lagrangian multi-section. If time allows, I will talk about how this reconstruction process can be applied to obtain some indecomposable rank 2 bundles on polarized K3 surfaces.