Eystein had at least one child, Ingvar “The Tall” Eysteinsson King Of Sweden.
He died in Lovund… killed in a rebellion.
NOTES FROM WIKIPEDIA
Eystein ruled the Swedes after his father, at which time Rolf, the King of Leidra died. King Eystein was at a feast in a district called Lofond when a plundering sea king called Solve, a son of Hogne of Njardo from Jutland surrounded the house and burned him and all his court. Solve then went to Sigtun to gain the Swedes approval, there followed a famous eleven day battle but Solve won, ruling Sweden until the Swedes betrayed him and had him killed.
Snorri Sturluson relates that Osten ruled Sweden at the time when Hrolf Kraki died in Lejre. It was a troubled time when many sea kings ravaged the Swedish shores. One of those kings was named Solve and he was from Jutland (but according to Historia Norwegiae he was Geatish). At this time, Solve was pillaging in the Baltic Sea and so he arrived in Lofond (probably the island of Lovon or the Lagunda Hundred), where Osten was at a feast. It was night-time and Solve and his men surrounded the house and set it on fire burning everyone inside to death. Then Solve arrived at Sigtuna (Old Sigtuna) and ordered the Swedes to accept him as king. The Swedes refused and gathered an army that fought against Solve and his men, but they lost after eleven days. The Swedes had to accept him as king for a while until they rebelled and killed him.