  We report here, the systematic field-cooled (FC) magnetisation of
superconducting (V$_{0.6}$Ti$_{0.4}$)-Y alloys in presence of applied magnetic
fields upto 7 T. Paramagnetic response is clearly observed just below the
superconducting transition temperature (T$_{c}$) in low fields ($\leq$0.2 T).
The lower T$_{c}$ of the Y-rich precipitates as compared to the bulk, is the
origin of flux compression and this leads to paramagnetic response. It is also
observed that the magnetisation obtained during field cooled (FC) cooling cycle
is lower than that of FC warming, for all the alloys in the field range 0.02-7
T. In addition, paramagnetic relaxation of FC moment is observed. We identify
that these features of Y containing alloys are related to the high field
paramagnetic Meissner effect (HFPME). Our analysis shows that the large
difference in pinning strength of the different pinning centres generated due
to Y addition to V$_{0.6}$Ti$_{0.4}$ alloy, is responsible for the observed
effect. We provide further evidence to our claim in the form of extension of
range in temperature and magnetic fields over which HFPME is observed when
samples are subjected to cold work.
