We report the results of a numerical search for non-topological solito
ns in the two-Higgs standard model, characterized by the non-trivial w
inding, pi(3)(S-3), Of the relative phase of the two doublets. In a re
gion of (weak-coupling) parameter space we identify a branch of windin
g solutions, which are lower in energy than the embedded standard spha
leron and deformed (bi)sphalerons. Contrary, however, to what happens
in 2d toy models, these solutions remain unstable even for very large
Higgs masses.