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The Sureste Basin in southeastern Mexico contains complex geological features, including extensional and compressional structures, salt deformations, rafted Mesozoic sections, and over-pressured shale diapirs. A recent onshore seismic acquisition using dynamite sources yielded lower-frequency, longer-offset, full-azimuth data than previous vintages. However, permitting challenges caused suboptimal acquisition conditions, with reduced charge sizes and significant data gaps. Despite these obstacles, the use of a Time-lag Full-waveform Inversion (TLFWI) workflow, followed by FWI Imaging, proved crucial in resolving salt geometries, slow shale velocities, and velocity variations across faults and basins, significantly improving the deeper Mesozoic target imaging. Additionally, this study presents the limitations of TLFWI-based iterative model building when high-quality data is unavailable and underscores the need to combine TLFWI with more recent and improved datasets to further reduce exploration risks.