One of the main tasks of quantum chemistry is to predict total energies for a given system within an almost nonapproximate method for a complete basis set. Unfortunately, although computational power is growing, approximate methods such as MP2 or CCSD(T) still have to be used as higher-level methods such as full CI are computationally too demanding. Nevertheless, when using these approximations, at least an almost-complete basis set should be used in order to avoid errors from basis set superposition or incompleteness. The aim of this work is to introduce a new method to analyze the local basis set superposition error (LBSSE) using local counterpoise corrections in order to converge a basis set for a given compound. Using this approach, we are able to define a basis set composition for a CO molecule adsorbed on rutile(110), which can be regarded as complete. In the presented work, CO adsorbed on rutile(110) and CO 2 adsorbed on a model Ti 3 O 9 cluster will be used as case examples. Therefore, in addition to a new LBSSE analysis method, adsorption energies of CO on rutile(110) at the MP2 and CCSD levels of theory are presented.