Abstract: The formation of new nuclei and hypernuclei in heavy-ion collisions at high energies is analysed. We use the hypothesis of local chemical equilibrium in expanding nuclear matter. In this letter, the ultra-relativistic quantum molecular dynamics (UrQMD), the Dubna cascade model (DCM), and statistical multifragmentation model (SMM) are applied for theoretical calculations of nuclei and hypernuclei production. Good agreement with experimental data is obtained within our hybrid approach. Experiments planned for the future at FAIR, NICA, and other accelerators will provide an excellent opportunity for study of nuclei and hot (hyper-)matter.