Grayven led a campaign of destruction against the cosmos, decimating planets. In the process, he effectively eliminated the Darkstars, a galactic police force. His campaign came to an end on the planet Rann. He desired a zeta beam device, a product of Rannian science that provides instantenous transportation on a grand scale. He intended to zeta beam his forces onto Apokolips, announce his presence to his father, and conquer the planet.
While the remaining Darkstars engaged Gravyen's army, Green Lantern Kyle Rayner faced off against the man himself. Rayner fought valiantly, using emerald constructs against Grayven's super strength and optic blasts. Grayven continued to hold the upper hand, even when Darkstar John Stewart joined the fight. Grayven unleashed a fierce optic blast upon Stewart, seemingly taking him out of the fight. While Rayner and Grayven continued their struggle, Stewart sought out a zeta beam device, and attempted to teleport Grayven to a random location. Rayner pushed Grayven into the zeta beam's path, ending the fight. Lacking their leader, Grayven's forces retreated.
Unknown to Stewart, he had inadvertently teleported Grayven deep within Earth's core. He eventually dug himself out, and sought out Kyle Rayner in New York City. This time, Rayner seemed to have the upper hand. Fearing defeat at the Green Lantern's hands, Grayven used an experimental teleporter, freeing himself, and in the process, sending Rayner into the 30th century.
Imperiex
Grayven next appeared during the Imperiex crisis. He was part of an alien alliance, which also included Maxima, Starfire, Adam Strange, and Darkseid. They sought to eliminate Imperiex, a cosmic giant who destroyed whole solar systems. He eventually turned on his father, and was banished to Earth. There he was infected with Joker toxin variant. He attempted to perform at, and then destroy, a comedy club before being stopped by Kyle Rayner.