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Let $k$ be an algebraically closed field and $Φ$ a finite dimensional $k$-algebra. The universal localization $Φ\rightarrow Φ_\mathcal{S}$ of $Φ$ with respect to a set of morphisms between finitely generated projective $Φ$-modules $\mathcal{S}$ always exists. Moreover, when $Φ$ is hereditary, Krause and Šťovíček proved that the universal localizations of $Φ$ are in bijective correspondence with various natural structures. Taking inspiration from an alternative definition of universal localizations involving a triangulated subcategory of $\mathcal{D}^{\text{perf}}(Φ)$, we introduce a higher analogue of universal localizations. That is, fixing a positive integer $d$, we define universal localizations of $d$-homological pairs $(Φ,\mathcal{F})$ with respect to suitable wide subcategories $\mathcal{U}$ of $\mathcal{D}^b(\text{mod}Φ)$. When gldim$Φ\leq d$, we show that the result by Krause and Šťovíček has a (partial) higher analogue and that such universal localizations exist with respect to any choice of $\mathcal{U}$ with the required properties. Moreover, we show that in this setup, the base case of our definition and the definition of classic universal localization coincide.