話す means to speak, to talk, or to tell. It focuses on the flow of a conversation or the act of using a language. It implies a dialogue or a continuous delivery of information, whereas 言う focuses on the specific words uttered.
That is how Fuguro works. It brings 話す back for review right before you forget it, each time a little later, until it sticks for good. You hear it spoken aloud, and you meet it again in stories you can already read. The first five levels are free.