We report characteristic vortex configurations in s + id superconductors with time reversal symmetry breaking, exposed to magnetic field. A vortex in the s + id state tends to have an opposite phase winding between s− and d−wave condensates. We find that this peculiar feature together with the competition between s− and d−wave symmetry results in three distinct classes of vortical configurations. When either s− or d− condensate absolutely dominates, vortices form a conventional lattice. However, when one condensate is relatively dominant, vortices organize in chains that exhibit skyrmionic character, separating the chiral components of the s ± id order parameter into domains within and outside the chain. Such skyrmionic chains are found stable even at high magnetic field. When s− and d− condensates have a comparable strength, vortices split cores in two chiral components to form full-fledged skyrmions, i.e. coreless topological structures with an integer topological charge, organized in a lattice. We provide characteristic magnetic field distributions of all states, enabling their identification in e.g. scanning Hall probe and scanning SQUID experiments. These unique vortex states are relevant for high-Tc cuprate and iron-based superconductors, where the relative strength of competing pairing symmetries is expected to be tuned by temperature and/or doping level, and can help distinguish s + is and s + id superconducting phases. * lingfeng.zhang@uantwerpen.be † spzhou@shu.edu.cn 1 Milorad V. Milošević and Andrea Perali, "Emergent phenomena in multicomponent superconductivity: An introduction to the focus issue," Supercond. Sci. Technol. 28, 060201 (2015). 2 Masatoshi Sato and Yoichi Ando, "Topological superconductors: a review," Rep. Prog. Phys. 80, 076501 (2017). 3 Andrew Peter Mackenzie and Yoshiteru Maeno, "The superconductivity of Sr2RuO4 and the physics of spin-triplet