We show that the transfer property
(
ℵ
1
,
ℵ
0
)
→
(
λ
+
,
λ
)
(\aleph _1,\aleph _0)\to (\lambda ^+,\lambda )
for singular
λ
\lambda
does not imply (even) the existence of a non-reflecting stationary subset of
λ
+
\lambda ^+
. The result assumes the consistency of ZFC with the existence of infinitely many supercompact cardinals. We employ a technique of “resurrection of supercompactness”. Our forcing extension destroys the supercompactness of some cardinals; to show that in the extended model they still carry some of their compactness properties (such as reflection of stationary sets), we show that their supercompactness can be resurrected via a tame forcing extension.