For a right Artinian ring \(\Lambda\), denote by \(\text{Mod\,}\Lambda\) the category of all left \(\Lambda\)-modules. In the paper under review, the authors describe certain contravariantly finite resolving subcategories of \(\text{Mod\,}\Lambda\) which leads to some nice consequences as follows. Firstly, they show that for every \(n\geq 0\), there exists a pure-injective \(\Lambda\)-module \(P_n\) such that the \(\Lambda\)-modules of projective dimension at most \(n\) are precisely the direct factors of \(\Lambda\)-modules having a finite filtration in products of copies of \(P_n\). It should be noticed that then the finitistic dimension of \(\Lambda\) is the suppremum of \(\{\text{pd\,}P_n,\;n\geq 0\}\). Also, this main result induces a one-to-one correspondence between equivalence classes of (not necessarily finitely generated) cotilting modules and resolving subcategories of \(\text{Mod\,}\Lambda\) which are closed under products and admit finite resolutions and special right approximations. From this result, the authors can show that every finitely presented partial cotilting module over an Artin algebra admits a complement. We mention that a similar result stating the existence of complements to finitely presented partial tilting modules was established by \textit{L. Angeleri-Hügel} and \textit{F. U. Coelho} [Math. Proc. Camb. Philos. Soc. 132, No. 1, 89-96 (2002; Zbl 1061.16019)].