  We have found analytical self-dual solutions within the generalized
Yang-Mills-Higgs model introduced in Phys. Rev. D 86, 085034 (2012). Such
solutions are magnetic monopoles satisfying Bogomol'nyi-Prasad-Sommerfield
(BPS) equations and usual finite energy boundary conditions. Moreover, the new
solutions are classified in two different types according to their capability
of recovering (or not) the usual 't Hooft--Polyakov monopole. Finally, we
compare the profiles of the solutions we found with the standard ones, from
which we comment about the main features exhibited by the new configurations.
