make rule heritage, is that possible?

I was writing a set of makefiles to build some of my projects and I see 
me copying/pasting some rules that are exactly the same, only changing 
the directory where they are executed and the variables contents.

Is there a way to write this kind of rules once and let it been 
inherited from a make directory level to another...

I think on something like this,

Top Makefile
--
generic-rule:
	...
--

subdir/Makefile
--
inherit generic-rule
--

I think about writing this rules on a Common.mk makefile and -include 
this file. Does anyone tried someting like that before?