  The Two-Higgs-Doublet model (2HDM) is a simple and viable extension of the
Standard Model (SM) with a scalar potential complex enough that two minima may
coexist. In this work we investigate if the procedure to identify our vacuum as
the global minimum by tree-level formulas carries over to the one-loop
corrected potential. In the CP conserving case, we identify two distinct types
of coexisting minima --- the regular ones (moderate $\tan\beta$) and the
non-regular ones (small or large $\tan\beta$) --- and conclude that the tree
level expectation fails only for the non-regular type of coexisting minima. For
the regular type, the sign of $m^2_{12}$ already precisely indicates which
minima is the global one, even at one-loop.
