  We present full numerical solutions to the system of a global string embedded
in a six-dimensional space time. The solutions are regular everywhere and do
confine gravity in our four-dimensional world. They depend on the value of the
(negative) cosmological constant in the bulk and on the parameters of the Higgs
potential, and we perform a systematic study to determine their allowed values.
We also comment on the relation of our results with previous studies on the
same subject and on their phenomenological viability.
