We resolve three problems concerning the three entire-leaved species of Neotropical Trema. 1) Phylogenetic and morphological results showed that T. integerrima (Beurl.) Standl., T. domingensis Urb., and T. laxiflora Lundell are a single species; therefore, we combine them under a single name. 2) The date of publication gives priority to T. integerrima, as the basionym Sponia integerrima Beurl. was published in 1856. However, the type specimen, Billberg 308 (S), is not a species of Trema but Pouzolzia obliqua (Wedd.) Wedd. (Urticaceae). The next available name for this species is T. domingensis, published in 1912. 3) The type of T. domingensis, Fuertes 312, is a mixed collection. Specimens of Fuertes 312 held at B, NY, U, and USD are T. domingensis, while those at P, G, US, and Z are Celtis trinervia Lam. We provide a historical review to understand how these problems arose and persisted unnoticed for decades.