The recent discovery of low-mass red giants with enhanced atmospherical Li
abundance in galactic low-metallicity stellar clusters adds to the mysterio
us phenomenon of the Li-rich giants. We propose a combined scenario for the
Li-enrichment: engulfing a giant planet (or brown dwarf) by a red giant (e
xternal source) activates inside the giant the "Be-7-mechanism" producing L
i internally. This episodical Li-production can happen at any time on the r
ed giant branch and is naturally followed by Li-depletion as is observed. L
imitations of our scenario are discussed as well.