A complicating factor in analyzing allopolyploid genomes is the possibility of physical interactions between homoeologous chromosomes during meiosis, resulting in either crossover (homoeologous exchanges) or non-crossover products (homoeologous gene conversion). This latter process was first described in cotton by comparing SNP patterns in sequences from two diploid progenitors with those from the allopolyploid subgenomes. These analyses, however, did not explicitly account for autapomorphic SNPs that may lead to similar patterns as homoeologous gene conversion, creating uncertainties about the reality of the inferred gene conversion events. Here, we use an expanded phylogenetic sampling of high-quality genome assemblies from seven allopolyploidGossypiumspecies (all derived from the same polyploidy event), four diploid species (two closely related to each subgenome), and a diploid outgroup to derive a robust method for identifying potential genomic regions of gene conversion and homoeologous exchange. Using this new method, we find little evidence for homoeologous gene conversion in allopolyploid cottons and that only two of the forty best-supported events are shared by more than one species. We do, however, reveal a single, shared homoeologous exchange event at one end of chromosome 1, which occurred shortly after allopolyploidization but prior to divergence of the descendant species. Overall, our analyses demonstrate that homoeologous gene conversion and homoeologous exchanges are uncommon inGossypium, affecting between zero and 24 genes per subgenome (0.0 - 0.065%) across the seven species. More generally, we highlight the potential problems of using simple four-taxon tests to investigate patterns of homoeologous gene conversion in established allopolyploids.SIGNIFICANCE STATEMENTAllopolyploidy is a prominent process in plant diversification, involving the union of two divergent genomes in a single nucleus via interspecific hybridization and genome doubling. The merger of genomes sets in motion a variety of inter-genomic and epigenomic interactions that are thought to lead to the origin of new phenotypes. Among these is recombinational exchange between duplicated chromosomes, which can involve sequence lengths ranging from several bases to entire chromosome arms, and which can be either reciprocal or unidirectional in their effects. Here we present a new analytical framework for detecting these inter-genomic recombinational processes in allopolyploids, and demonstrate that they have been rare in a group of allopolyploid species in the cotton genus.