The present disclosure relates to systems, methods, and kits for facilitating the solving and/or resolution of diagramless crossword puzzles. According to an embodiment of the present disclosure, a system for completing a diagramless crossword puzzle having a solution grid defining a rectilinear array of cells, is provided. The completion system includes a plurality of overlays each having a first and a second surface. Each overlay includes a grid formed on the first surface thereof. The grid of each overlay defines an array of cells. Accordingly, the overlays are selectively placable on a surface of the solution grid such that the array of cells of the overlay correspond with the rectilinear array of cells of the solution grid.