We show that for any bounded domain $\\Omega\\subset\\Cp ^n$ of 1-type $2k $\nwhich is locally convexifiable at $p\\in b\\Omega$, having a Stein neighborhood\nbasis, there is a biholomorphic map $f:\\bar{\\Omega}\\rightarrow \\Cp ^n $ such\nthat $f(p)$ is a global extreme point of type $2k$ for $f{(\\bar\\Omega)}$.\n