"Vengeance of the Immortal Villain" was the story that re-introduces the JSA back into DC continuity. Originally published in DC's The Flash No.137 June 1963 (see scan below) and in Australia in The Hundred comic No.86. This was later reprinted in Flash No.213 and appeared here in Australia as the lead story in Superman Presents World's Finest Comic No. 92 (as Vengeance of the Immortal Villian"). In Australia World's Finest alternated The Flash & Wonder Woman as leading character. Having been rescued by the Flashes of Earths 1&2 the Justice Society decide to reform and meet on a regular basis.
A few months later the classics Crisis on Earth 1 and Crisis on Earth 2 were published in Justice League of America 21 & 22. There success ensured that the annual traditional team up between the JLA & JSA was born.