The interplay between real and reciprocal space topology yields intrinsically linked transport phenomena in topological magnetic material systems. In particular, broken time-reversal symmetry together with strong Dzyaloshinskii-Moriya interaction and pronounced uniaxial anisotropy can simultaneously stabilize momentum-space Berry-curvature singularities (Weyl nodes) and real-space chiral spin textures. The concurrent realization of these dual topological features remains exceptionally rare, particularly in epitaxial thin films. Here, we present a combined first-principles and detailed magnetotransport investigation of epitaxial $\mathrm{F}{\mathrm{e}}_5\mathrm{S}{\mathrm{i}}_3$ thin films, establishing the material as a magnetic Weyl nodal-line metal in which density functional theory (DFT) calculations uncover a topologically nontrivial electronic structure featuring six pairs of Weyl nodes near the Fermi level ($E_{\mathrm{F}}$) and pronounced Berry-curvature hot spots at high-symmetry points, and accompanied by a large topological Hall response. High-quality epitaxial films exhibit robust ferromagnetism with a high Curie temperature ($T_{\mathrm{C}}$) of approximately 370 K and strong magnetocrystalline anisotropy. The magnetotransport measurements on epitaxial films reveal the corresponding Berry-curvature-driven responses, including a significantly large intrinsic anomalous Hall conductivity of 504 S/cm and a high anomalous Hall angle of 5.5%, which is in good agreement with DFT calculations. Furthermore, a substantial topological Hall resistivity of $1.6\mu \mathrm{\Omega }\mathrm{cm}$ is robust across a wide temperature range, indicating the possibility of robust chiral spin textures in the thin-film geometry. These combined theoretical and experimental results establish $\mathrm{F}{\mathrm{e}}_5\mathrm{S}{\mathrm{i}}_3$ as a unique, low-cost, centrosymmetric magnetic Weyl nodal-line material, providing a versatile platform for exploring coupled real- and reciprocal-space topologies in topological spintronic applications.

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• Anomalous Hall effect
• Magnetotransport
• Topological Hall effect
• Nodal-line semimetals
• Thin films
• Topological materials
• Density functional calculations