The generation of ultrafast optical pulses has always relied strongly on the capabilities of dispersion compensation schemes. Some recent advances into the sub-5-fs regime have only been possible by improved dispersion compensation, be it by using chirped mirrors [1-3], liquid-crystal phase modulators in a zero dispersion delay line [4-6], or Raman sideband generation [7, 8]. However, neither method has been demonstrated with spectra exceeding a bandwidth of one optical octave. Here we address a novel route towards compression of ultrabroadband continua, based on a new generation of chirped mirrors.