A microcavity dish (10) for cultivating cells includes a dish body including a sidewall (16) that encloses a cell culture chamber within the dish body. The dish body has a top and a bottom (12). The bottom includes a cell culturing substrate comprising an array of microcavities (46). The sidewall includes a transition portion (30) that divides the sidewall into an upper portion and a lower portion that is offset inward relative to the upper portion defining a liquid medium delivery surface (26) that extends at least partially along an interior surface (28) of the sidewall and slopes toward the bottom.