Single-shot (SSH) pulse sequences in CMR are beneficial for rapid image acquisition especially in arrhythmic patients or poor breath-holders. However, this fast scanning technique trades scan time for lower signal-to-noise ratio and spatial resolution compared to conventional multi-shot acquisitions. Here we propose a motion-compensated reconstruction technique that improves the image quality from multiple free-breathing undersampled single-shot acquisitions. Simulations are used to evaluate the performance of the model by retrospectively undersampling the acquired data with different acceleration factors.