  A study of double charmed meson production in proton-proton and
proton-nucleus collisions at the LHC energies is performed. Based on the color
dipole formalism developed in the transverse momentum representation and the
double parton scattering mechanism, predictions are made for the transverse
momentum differential cross section for different pairs of $D$-mesons. The
theoretical results consider the center-of-mass energy and forward rapidities
associated to the measurements by the LHCb Collaboration. The results
considering different unintegrated gluon distributions are presented and
compared to data and predictions for proton-nucleus collisions are provided.
