The nature and origin of Lithium rich giant stars is still matter of debate . In the contest of our spectroscopic survey of giants in the tidal streams of the Sagittarius dwarf spheroidal ( dSph ) galaxy , we present the serendipitous discovery of 2 super Li-rich stars ( A ( Li ) > 3.5-4.0 ) . Besides D461 in Draco , these are the only Li-rich stars known in a Local Group dSph galaxy . The high Li abundance and the low mass of these stars support their origin as due to fresh Li production in the stars associated with some kind of extra-mixing process .