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Microcavity-based frequency combs, or ‘microcombs’^,, have enabled many fundamental breakthroughs^{, , , , , , , , , , , , , , , , , –} through the discovery of temporal cavity-solitons. These self-localized waves, described by the Lugiato–Lefever equation, are sustained by a background of radiation usually containing 95% of the total power. Simple methods for their efficient generation and control are currently being investigated to finally establish microcombs as out-of-the-lab tools. Here, we demonstrate microcomb laser cavity-solitons. Laser cavity-solitons are intrinsically background-free and have underpinned key breakthroughs in semiconductor lasers^{,, , –}. By merging their properties with the physics of multimode systems, we provide a new paradigm for soliton generation and control in microcavities. We demonstrate 50-nm-wide bright soliton combs induced at average powers more than one order of magnitude lower …