  Despite the interest in Dark Matter (DM) searches is currently more focused
on underground experiments, a signature of DM annihilation/decay in gamma-rays
from the space would constitute a smoking gun for its identification. Here, we
present the results of the survey of Segue1 by the MAGIC-I telescope performed
in 2008 and 2009. This source is considered by many as the most DM dominated
Milky Way satellite galaxy known so far. The nearly 43 hours of data taken
constitute the deepest observation ever made on a single dwarf galaxy by
Cherenkov telescopes. No significant gamma-ray emission was found above an
energy threshold of 100 GeV. Integral upper limits on the gamma-ray flux were
calculated assuming various power-law spectra for the possible emission
spectrum and for different energy thresholds. We also discuss a novel analysis
that fully takes into account the spectral features of the gamma-ray spectrum
of specific DM models in a SuperSymmetric scenario.
