The metal-rich halogenides AuBi_14-δSn _2+δX_21-δ (δ ≈ 0.4) and PdBi _15-δSn_1+δX_21-δ (δ ≈ 0.6) with X = Cl, Br were crystallized from melts of the metals and BiX ₃. In the rhombohedral structures (space group R3̄; a ≈ 1050 pm; α ≈ 94°), noble-metal centered pentagonal antiprisms [Au@Bi₁₀]⁵⁺ resp. [Pd@Bi₁₀]⁴⁺ are embedded in halogenidonietallate frameworks ³ _∞[Bi_4-δSn_2+δX _21-δ]^5- resp. ³_∞[Bi _5-δSn_1+δX_21-δ]^4-. Mixed Bi^III/Sn^π site occupation allows the framework to adopt different charges. Further exchange of Bi^IIIX₃ against Sn^IIX₂ results in vacancies (δ) on the position of an isolated halide ion. In quantum chemical calculations the naked metal-clusters are found to be stable in D_5d symmetry with interatomic distances close to the observed ones. The significance of interactions between the Wade-type host cluster Bi₁₀⁴⁺ and the closed-subshell guest atoms Au⁺ or Pd₀ is reflected in the molecular orbital diagram, the population analyses and the ELI-D.