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In this talk, we briefly discuss the physical concepts underlying the evolution of primordial stars in our observable Universe. We present a suite of 3D simulations of unstable gas clumps formed within dark matter minihalos. Our numerical setup enables us to investigate protostellar evolution and the development of circumstellar disks, which may further fragment to form multiple protostars. We have also developed a semi-analytical Bondi–Hoyle framework to estimate the long-term evolution of these primordial stars. This approach advances our understanding of their possible existence in present-day galaxies.