Engraft is a verb which means to INSERT, GRAFT, or EMBED something into another. It is commonly used in the medical field to describe the process of transplanting tissue from one organism to another. In the context of horticulture, it is used to describe the process of inserting a bud, branch, or twig from one plant into another. In general, engrafting is a process of combining two different things together to form a single entity.