I think the only way is to use the Undo function , CTRL + Z .
The amoung of undo is controlled in the global undo steps , modifiable in the User Preferences -> Editing tab.
But the more undo you will have, the more memory it will eat.
He wants a brush that “relaxes” or “fills” the sculpt back to the shape the basemesh originally had, and only where you use the brush.
I don’t think there’s such a feature though.
Scultpris has an excellent and extremely usefull “Reduce Detail” brush that Blender has no equivalent to.
Maybe using Sculptris for sculpting could then be a solution as this brush seems very similar to what the OP would like.