  We report on the results of a detailed phase-resolved spectroscopy of
archival XMM--Newton observations of X-ray Dim Isolated Neutron Stars (XDINSs).
Our analysis revealed a narrow and phase-variable absorption feature in the
X-ray spectrum of RX J1308.6+2127. The feature has an energy of $\sim$740 eV
and an equivalent width of $\sim$15 eV. It is detected only in $\sim$ 1/5 of
the phase cycle, and appears to be present for the entire timespan covered by
the observations (2001 December - 2007 June). The strong dependence on the
pulsar rotation and the narrow width suggest that the feature is likely due to
resonant cyclotron absorption/scattering in a confined high-B structure close
to the stellar surface. Assuming a proton cyclotron line, the magnetic field
strength in the loop is B$_{loop} \sim 1.7 \times 10^{14}$ G, about a factor of
$\sim$5 higher than the surface dipolar magnetic field (B$_{surf} \sim 3.4
\times 10^{13}$ G). This feature is similar to that recently detected in
another XDINS, RX J0720.4-3125, showing (as expected by theoretical
simulations) that small scale magnetic loops close to the surface might be
common to many highly magnetic neutron stars (although difficult to detect with
current X-ray instruments). Furthermore, we investigated the available
XMM--Newton, data of all XDINSs in search for similar narrow phase-dependent
features, but could derive only upper limits for all the other sources.
