We look at how one can construct from the data of a dimer model a Lagrangian submanifold in $(C\ast )n$ whose valuation projection approximates a tropical hypersurface. Each face of the dimer corresponds to a Lagrangian disk with boundary on our tropical Lagrangian submanifold, forming a Lagrangian mutation seed. Using this we find tropical Lagrangian tori $LT2$ in the complement of a smooth anticanonical divisor of a toric del-Pezzo whose wall-crossing transformations match those of monotone SYZ fibers. An example is worked out for the mirror pair $(\mathrm{CP}2\setminus E,W),Xˇ9111$. We find a symplectomorphism of $\mathrm{CP}2\setminus E$ interchanging $LT2$ and a SYZ fiber. Evidence is provided that this symplectomorphism is mirror to fiberwise Fourier-Mukai transform on $Xˇ9111$.