Satellites to the resonance lines of helium-like ions are distinctive features of the spectra from high-pressure plasmas such as those produced in the absorption layer of a high-intensity laser beam incident on a solid surface. The satellites are spatially coincident with the free-bound continua into the helium-like ions and are produced mainly by dielectronic recombination. Their wavelengths are identified by comparison with Hartree-Fock type calculations. The intensities of some of the dielectronic satellites increase anomalously with the atomic charge of the ion.