Two noniterative local models for evaluating the contribution of triple substitutions to the electron correlation energy (as needed in MP4 and CCSD(T)), are developed. The occupied space is spanned by a minimal basis, and the virtual space by an extended basis of atom-centered functions. The triple substitutions are truncated by an atomic criterion such that either zero or one electrons can be transferred between atoms. The covalent model asymptotically recovers 70% of the triples correlation energy for poly-ynes with a 6-31G* basis, while the singly-ionic model recovers 99%.