  The behaviour of a relativistic scalar particle in a possible scenario that
arises from the violation of the Lorentz symmetry is investigated. The
background of the Lorentz symmetry violation is defined by a tensor field that
governs the Lorentz symmetry violation out of the Standard Model Extension.
Thereby, we show that a Coulomb-type potential can be induced by Lorentz
symmetry breaking effects and bound states solutions to the Klein-Gordon
equation can be obtained. Further, we discuss the effects of this Coulomb-type
potential on the confinement of the relativistic scalar particle to a linear
confining potential by showing that bound states solutions to the Klein-Gordon
equation can also be achieved, and obtain a quantum effect characterized by the
dependence of a parameter of the linear confining potential on the quantum
numbers $\left\{n,l\right\}$ of the system.
