  Debris discs are a consequence of the planet formation process and constitute
the fingerprints of planetesimal systems. Their solar system's counterparts are
the asteroid and Edgeworth-Kuiper belts. The DUNES survey aims at detecting
extra-solar analogues to the Edgeworth-Kuiper belt around solar-type stars,
putting in this way the solar system into context. The survey allows us to
address some questions related to the prevalence and properties of planetesimal
systems. We used {\it Herschel}/PACS to observe a sample of nearby FGK stars.
Data at 100 and 160 $\mu$m were obtained, complemented in some cases with
observations at 70 $\mu$m, and at 250, 350 and 500 $\mu$m using SPIRE. The
observing strategy was to integrate as deep as possible at 100 $\mu$m to detect
the stellar photosphere. Debris discs have been detected at a fractional
luminosity level down to several times that of the Edgeworth-Kuiper belt. The
incidence rate of discs around the DUNES stars is increased from a rate of
$\sim$ 12.1% $\pm$ 5% before \emph{Herschel} to $\sim$ 20.2% $\pm$ 2%. A
significant fraction ($\sim$ 52%) of the discs are resolved, which represents
an enormous step ahead from the previously known resolved discs. Some stars are
associated with faint far-IR excesses attributed to a new class of cold discs.
Although it cannot be excluded that these excesses are produced by coincidental
alignment of background galaxies, statistical arguments suggest that at least
some of them are true debris discs. Some discs display peculiar SEDs with
spectral indexes in the 70-160$\mu$m range steeper than the Rayleigh-Jeans one.
An analysis of the debris disc parameters suggests that a decrease might exist
of the mean black body radius from the F-type to the K-type stars. In addition,
a weak trend is suggested for a correlation of disc sizes and an
anticorrelation of disc temperatures with the stellar age.
