Genome targeting and editing in vitro and in vivo can be achieved through an interplay of exogenously introduced molecules and the induction of endogenous recombination machinery. The former includes a repertoire of sequence-specific binding molecules for targeted induction and appropriation of this machinery, such as by triplex-forming oligonucleotides (TFOs) or triplex-forming peptide nucleic acids (PNAs) and recombinagenic donor DNA, respectively. This versatile targeting and editing via recombination approach facilitates high-fidelity and low-off-target genome mutagenesis, repair, expression, and regulation. Herein, we describe the current state-of-the-art in triplex-mediated genome targeting and editing with a perspective towards potential translational and therapeutic applications. We detail several materials and methods for the design, delivery, and use of triplex-forming and recombinagenic molecules for mediating and introducing specific, heritable, and safe genomic modifications. Furthermore we denote some guidelines for endogenous genome targeting and editing site identification and techniques to test targeting and editing efficiency.